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Alpöge, Levent; Katz, Nicholas M.; Navarro, Gabriel; O’Brien, E. A.; Tiep, Pham Huu

Local systems and Suzuki groups. (English) Zbl 07861168

Mann, Avinoam (ed.) et al., Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 800, 15-79 (2024).

MSC: 11T23 20C15 20C33 20D06 20G05

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Katz, Nicholas M.; Tiep, Pham Huu

Condition \((\mathbf{S}+)\) in ranks \(4, 8\), and \(9\). (English) Zbl 1537.11140

J. Pure Appl. Algebra 228, No. 9, Article ID 107679, 13 p. (2024).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 11T23 20C15 20D06 20C33 20G40

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Larsen, Michael; Shalev, Aner; Tiep, Pham Huu

Characteristic covering numbers of finite simple groups. (English) Zbl 1531.20018

Math. Ann. 388, No. 1, 167-189 (2024).

Reviewer: Enrico Jabara (Venezia)

MSC: 20D06 20D60 20F10

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Moretó, Alexander; Tiep, Pham Huu

Nonsolvable groups have a large proportion of vanishing elements. (English) Zbl 1515.20054

Isr. J. Math. 254, No. 1, 229-242 (2023).

Reviewer: Egle Bettio (Venezia)

MSC: 20C15

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Hung, Nguyen Ngoc; Tiep, Pham Huu

Degrees and fields of values of irreducible characters. (English) Zbl 1521.20014

Eur. J. Math. 9, No. 2, Paper No. 37, 17 p. (2023).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20C30 20C33

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Larsen, Michael; Shalev, Aner; Tiep, Pham Huu

Products of derangements in simple permutation groups. (English) Zbl 1507.20005

Forum Math. Sigma 10, Paper No. e83, 30 p. (2022).

Reviewer: Mohammad-Reza Darafsheh (Tehran)

MSC: 20D06 20F69 20G40 20P05 20B15 20C33

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Tiep, Pham Huu; Zalesski, Alexandre E.

Hall-Higman type theorems for exceptional groups of Lie type. I. (English) Zbl 1511.20053

J. Algebra 607, Part A, 755-794 (2022).

MSC: 20C33 20D06 20C15 20C20 20G05 20G40

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Tiep, Pham Huu; Tong-Viet, Hung P.

Odd-degree rational irreducible characters. (English) Zbl 1510.20014

Acta Math. Vietnam. 47, No. 1, 293-304 (2022).

Reviewer: Pál Hegedüs (Budapest)

MSC: 20C15 20D10

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Katz, Nicholas M.; Tiep, Pham Huu

Monodromy groups of Kloosterman and hypergeometric sheaves. (English) Zbl 1485.11166

Geom. Funct. Anal. 31, No. 3, 562-662 (2021).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 11T23 20C15 20D06 20C33 20G40

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Katz, Nicholas M.; Tiep, Pham Huu

Rigid local systems and finite general linear groups. (English) Zbl 1485.11165

Math. Z. 298, No. 3-4, 1293-1321 (2021).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 11T23 20C33 20G40

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Navarro, Gabriel; Tiep, Pham Huu

The fields of values of characters of degree not divisible by \(p\). (English) Zbl 1498.20021

Forum Math. Pi 9, Paper No. e2, 28 p. (2021).

MSC: 20C15 20C33

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Bannai, Eiichi; Navarro, Gabriel; Rizo, Noelia; Tiep, Pham Huu

Unitary \(t\)-groups. (English) Zbl 1485.20016

J. Math. Soc. Japan 72, No. 3, 909-921 (2020).

MSC: 20C15 05B30 20G05

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Halasi, Zoltán; Maróti, Attila; Navarro, Gabriel; Tiep, Pham Huu

Irreducible induction and nilpotent subgroups in finite groups. (English) Zbl 1485.20020

J. Algebra 561, 200-214 (2020).

MSC: 20C15 20C33 20B05 20D15

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Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. (English) Zbl 1453.20017

Adv. Math. 369, Article ID 107184, 65 p. (2020).

Reviewer: Mohammad-Reza Darafsheh (Tehran)

MSC: 20C20 20C30 20C33 20D06 20B35

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Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu

Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_2\). (English) Zbl 1460.11144

Int. J. Number Theory 16, No. 2, 341-360 (2020).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 11T23 20C15 20C34 20D08

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Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu

A rigid local system with monodromy group the big Conway group \(2.\mathsf{Co}_1\) and two others with monodromy group the Suzuki group \(6.\mathsf{Suz}\). (English) Zbl 1457.11169

Trans. Am. Math. Soc. 373, No. 3, 2007-2044 (2020).

MSC: 11T23 20C15 20C34 20D08

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Hung, Nguyen Ngoc; Tiep, Pham Huu

The average character degree and an improvement of the Itô-Michler theorem. (English) Zbl 1477.20012

J. Algebra 550, 86-107 (2020).

MSC: 20C15 20D10 20D05

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Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu

Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). (English) Zbl 1446.11210

J. Number Theory 206, 1-23 (2020).

MSC: 11T23 20C15 20C34 20D08 14G17

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Katz, Nicholas M.; Tiep, Pham Huu

Local systems and finite unitary and symplectic groups. (English) Zbl 1425.14009

Adv. Math. 358, Article ID 106859, 38 p. (2019).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 14D05 20G40

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Katz, Nicholas M.; Tiep, Pham Huu

Rigid local systems and finite symplectic groups. (English) Zbl 1459.11225

Finite Fields Appl. 59, 134-174 (2019).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 11T23 14H30 20C33 20G40

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Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu

Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. (English) Zbl 1468.20024

Math. Z. 293, No. 1-2, 677-723 (2019).

MSC: 20C30 20C20 20E28

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Isaacs, I. M.; Liebeck, M. W.; Navarro, Gabriel; Tiep, Pham Huu

Fields of values of odd-degree irreducible characters. (English) Zbl 1481.20021

Adv. Math. 354, Article ID 106757, 26 p. (2019).

Reviewer: Robert W. van der Waall (Huizen)

MSC: 20C15 20C33 20G40 20D06 20G05 20D05

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Tiep, Pham Huu; Tong-Viet, Hung P.

Finite groups with many values in a column of the character table. (English) Zbl 1499.20014

J. Algebra Appl. 17, No. 10, Article ID 1850196, 20 p. (2018).

MSC: 20C15 20D05

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Guralnick, Robert M.; Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu

Surjective word maps and Burnside’s \(p^aq^b\) theorem. (English) Zbl 1397.20037

Invent. Math. 213, No. 2, 589-695 (2018).

Reviewer: Andrea Lucchini (Padova)

MSC: 20F10 20D05

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Hung, Nguyen Ngoc; Tiep, Pham Huu

Irreducible characters of even degree and normal Sylow 2-subgroups. (English) Zbl 1386.20006

Math. Proc. Camb. Philos. Soc. 162, No. 2, 353-365 (2017).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20D20 20D60 20D10

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Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu

Adequate subgroups and indecomposable modules. (English) Zbl 1460.20003

J. Eur. Math. Soc. (JEMS) 19, No. 4, 1231-1291 (2017).

Reviewer: Wilberd van der Kallen (Utrecht)

MSC: 20C20 11F80 20C33

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Meagher, Karen; Spiga, Pablo; Tiep, Pham Huu

An Erdős-Ko-Rado theorem for finite 2-transitive groups. (English) Zbl 1333.05306

Eur. J. Comb. 55, 100-118 (2016).

MSC: 05D05 20B30 20D06

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Giudici, Michael; Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan; Tiep, Pham Huu

Arithmetic results on orbits of linear groups. (English) Zbl 1382.20003

Trans. Am. Math. Soc. 368, No. 4, 2415-2467 (2016).

MSC: 20B05 20G40 20G41 20G05 20H30

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Lewis, Mark L.; Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.

\(p\)-parts of character degrees. (English) Zbl 1335.20006

J. Lond. Math. Soc., II. Ser. 92, No. 2, 483-497 (2015).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20C20 20D10 20D20

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Real ordinary characters and real Brauer characters. (English) Zbl 1365.20007

Trans. Am. Math. Soc. 367, No. 2, 1273-1312 (2015).

MSC: 20C15 20C20 20C33 20D20

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Navarro, Gabriel; Solomon, Ronald; Tiep, Pham Huu

Abelian Sylow subgroups in a finite group. II. (English) Zbl 1308.20017

J. Algebra 421, 3-11 (2015).

Reviewer: Anatoli Kondrat’ev (Ekaterinburg)

MSC: 20D20 20D06 20D60 20E45 20C20

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Navarro, Gabriel; Tiep, Pham Huu

Abelian Sylow subgroups in a finite group. (English) Zbl 1305.20023

J. Algebra 398, 519-526 (2014).

Reviewer: Anatoli Kondrat’ev (Ekaterinburg)

MSC: 20D20 20D06 20D60 20E45

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Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.

\(p\)-parts of Brauer character degrees. (English) Zbl 1305.20010

J. Algebra 403, 426-438 (2014).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C20 20D10 20D05 20D60

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Külshammer, Burkhard; Navarro, Gabriel; Sambale, Benjamin; Tiep, Pham Huu

Finite groups with two conjugacy classes of \(p\)-elements and related questions for \(p\)-blocks. (English) Zbl 1298.20022

Bull. Lond. Math. Soc. 46, No. 2, 305-314 (2014).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20D20 20C20 20C15

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Dolfi, Silvio; Navarro, Gabriel; Tiep, Pham Huu

[Lux, Klaus; Breuer, Thomas]

Finite groups whose same degree characters are Galois conjugate. (English) Zbl 1293.20010

Isr. J. Math. 198, 283-331 (2013).

Reviewer: Robert W. van der Waall (Huizen)

MSC: 20C15 20C34 20C33 20D05 20D06 20D08 20D25

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Navarro, Gabriel; Tiep, Pham Huu

Characters of relative \(p^\prime\)-degree over normal subgroups. (English) Zbl 1372.20016

Ann. Math. (2) 178, No. 3, 1135-1171 (2013).

Reviewer: Morten E. Harris (Chicago)

MSC: 20C15 20C20 20D20

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Guralnick, Robert M.; Pham Huu Tiep

A problem of Kollár and Larsen on finite linear groups and crepant resolutions. (English) Zbl 1257.14013

J. Eur. Math. Soc. (JEMS) 14, No. 3, 605-657 (2012).

Reviewer: Vladimir L. Popov (Moskva)

MSC: 14E15 20C15

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Larsen, Michael; Shalev, Aner; Tiep, Pham Huu

The Waring problem for finite simple groups. (English) Zbl 1283.20008

Ann. Math. (2) 174, No. 3, 1885-1950 (2011).

MSC: 20D05 11P05 20C33 20D60 20F05 20E45 20G40 20E05

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Navarro, Gabriel; Tiep, Pham Huu

A reduction theorem for the Alperin weight conjecture. (English) Zbl 1234.20010

Invent. Math. 184, No. 3, 529-565 (2011).

Reviewer: Mohammad-Reza Darafsheh (Tehran)

MSC: 20C20 20C33 20C34 20D05

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Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu

The Ore conjecture. (English) Zbl 1205.20011

J. Eur. Math. Soc. (JEMS) 12, No. 4, 939-1008 (2010).

Reviewer: Shi Wujie (Suzhou)

MSC: 20D06 20F12 20C33 20F05

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Navarro, Gabriel; Tiep, Pham Huu

Degrees of rational characters of finite groups. (English) Zbl 1200.20006

Adv. Math. 224, No. 3, 1121-1142 (2010).

Reviewer: R. W. van der Waall (Huizen)

MSC: 20C15 20D60 20D40 20D10 20D05 20C33

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Himstedt, Frank; Nguyen, Hung Ngoc; Tiep, Pham Huu

On the restriction of cross characteristic representations of \(^2F_4(q)\) to proper subgroups. (English) Zbl 1208.20010

Arch. Math. 93, No. 5, 415-423 (2009).

Reviewer: Thomas Wakefield (Youngstown)

MSC: 20C33 20C20 20C15 20G40

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Isaacs, I. M.; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu

Groups with just one character degree divisible by a given prime. (English) Zbl 1203.20005

Trans. Am. Math. Soc. 361, No. 12, 6521-6547 (2009).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20D20 20D60 20C33

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Navarro, Gabriel; Sanus, Lucia; Tiep, Pham Huu

Real characters and degrees. (English) Zbl 1186.20010

Isr. J. Math. 171, 157-173 (2009).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20E45 20D60

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Guralnick, Robert M.; Tiep, Pham Huu

Symmetric powers and a problem of Kollár and Larsen. (English) Zbl 1245.20058

Invent. Math. 174, No. 3, 505-554 (2008).

MSC: 20G05 20G15

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Dolfi, Silvio; Navarro, Gabriel; Tiep, Pham Huu

Primes dividing the degrees of the real characters. (English) Zbl 1149.20006

Math. Z. 259, No. 4, 755-774 (2008).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20D60 20E45

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Navarro, Gabriel; Tiep, Pham Huu

Rational irreducible characters and rational conjugacy classes in finite groups. (English) Zbl 1137.20009

Trans. Am. Math. Soc. 360, No. 5, 2443-2465 (2008).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20E45 20C33

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Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre

Brauer characters with cyclotomic field of values. (English) Zbl 1173.20007

J. Pure Appl. Algebra 212, No. 3, 628-635 (2008).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C20 20D05

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Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre

\(p\)-rational characters and self-normalizing Sylow \(p\)-subgroups. (English) Zbl 1146.20005

Represent. Theory 11, 84-94 (2007).

Reviewer: Thomas Michael Keller (San Marcos)

MSC: 20C15 20D20 20C33

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Finite groups admitting Grassmannian 4-designs. (English) Zbl 1113.51005

J. Algebra 306, No. 1, 227-243 (2006).

Reviewer: Pavel Burda (Ostrava)

MSC: 51E30

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Navarro, Gabriel; Tiep, Pham Huu

Rational Brauer characters. (English) Zbl 1106.20006

Math. Ann. 335, No. 3, 675-686 (2006).

Reviewer: Robert Guralnick (Los Angeles)

MSC: 20C20

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Guralnick, Robert M.; Tiep, Pham Huu

The non-coprime \(k(GV)\) problem. (English) Zbl 1083.20006

J. Algebra 293, No. 1, 185-242 (2005).

Reviewer: Burkhard Külshammer (Jena)

MSC: 20C20 20C15 20D06 20C33

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Sin, Peter; Tiep, Pham Huu

Rank 3 permutation modules of the finite classical groups. (English) Zbl 1087.20013

J. Algebra 291, No. 2, 551-606 (2005).

Reviewer: Roderick Gow (Dublin)

MSC: 20C33 20G05 20G40

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Guralnick, Robert M.; Tiep, Pham Huu

Decompositions of small tensor powers and Larsen’s conjecture. (English) Zbl 1109.20040

Represent. Theory 9, 138-208 (2005).

Reviewer: Ye Jiachen (Shanghai)

MSC: 20G05 20C15 20C20 20C33 20C34 20G40

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Guralnick, Robert M.; Pham Huu Tiep

Cross characteristic representations of even characteristic symplectic groups. (English) Zbl 1062.20013

Trans. Am. Math. Soc. 356, No. 12, 4969-5023 (2004).

Reviewer: Ye Jiachen (Shanghai)

MSC: 20C33 20G05 20G40 20C20

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Kleshchev, Alexander S.; Pham Huu Tiep

On restrictions of modular spin representations of symmetric and alternating groups. (English) Zbl 1065.20013

Trans. Am. Math. Soc. 356, No. 5, 1971-1999 (2004).

Reviewer: Robert Guralnick (Los Angeles)

MSC: 20C20 20C30 20C25 20B35 20B20

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Pham Huu Tiep; Zalesskiĭ, A. E.

Unipotent elements of finite groups of Lie type and realization fields of their complex representations. (English) Zbl 1051.20008

J. Algebra 271, No. 1, 327-390 (2004).

Reviewer: Roderick Gow (Dublin)

MSC: 20C33 20G05

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Guralnick, Robert M.; Pham Huu Tiep

Finite simple unisingular groups of Lie type. (English) Zbl 1046.20013

J. Group Theory 6, No. 3, 271-310 (2003).

Reviewer: Ye Jiachen (Shanghai)

MSC: 20C33 20G05 20D06

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Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep

Cross characteristic representations of symplectic and unitary groups. (English) Zbl 1025.20002

J. Algebra 257, No. 2, 291-347 (2002); Addendum 299, No. 1, 443-446 (2006).

Reviewer: Wolfgang Lempken (Essen)

MSC: 20C33 20C20 20C34 20G05 20G40

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Pham Huu Tiep; Zalesskij, A. E.

Reducibility modulo \(p\) of complex representations of finite groups of Lie type: asymptotical result and small characteristic cases. (English) Zbl 1006.20011

Proc. Am. Math. Soc. 130, No. 11, 3177-3184 (2002).

Reviewer: Ye Jiachen (Shanghai)

MSC: 20C33 20C20 20G40

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Lempken, Wolfgang; Schröder, Bernd; Pham Huu Tiep

[Bachoc, Christine]

Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep. (English) Zbl 1012.11054

J. Algebra 240, No. 1, 185-208 (2001).

Reviewer: K.Roegner (Berlin)

MSC: 11H50 05B05 11H71 51E05

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Pham Huu Tiep; Zalesskii, A. E.

Some aspects of finite linear groups: A survey. (English) Zbl 0961.20039

J. Math. Sci., New York 100, No. 1, 1893-1914 (2000).

Reviewer: Anatoli Kondrat’ev (Ekaterinburg)

MSC: 20G15 20G40 20-02 20D05 20C15 20C20 20C33

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Globally irreducible representations of \(\text{SL}_3(q)\) and \(\text{SU}_3(q)\). (English) Zbl 0922.20019

Isr. J. Math. 109, 225-251 (1999).

Reviewer: Roderick Gow (Dublin)

MSC: 20C33 20G40 20G05

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Scharlau, Rudolf; Pham Huu Tiep

Symplectic group lattices. (English) Zbl 0941.20003

Trans. Am. Math. Soc. 351, No. 5, 2101-2139 (1999).

Reviewer: Roderick Gow (Dublin)

MSC: 20C10 11H56 20C33 11E12 11H31 94B05 20G05 20G40 20C20

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Dummigan, Neil; Pham Huu Tiep

Congruences for certain theta series. (English) Zbl 0916.11039

J. Number Theory 71, No. 1, 86-105 (1998).

Reviewer: H.G.Quebbemann (Oldenburg)

MSC: 11H56 11F27 11E12

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Pham Huu Tiep; Zalesskii, Alexander E.

Some generalizations of the Weil representations of the symplectic and unitary groups. (English) Zbl 0877.20030

J. Algebra 192, No. 1, 130-165 (1997).

Reviewer: Chen Zhijie (Shanghai)

MSC: 20G05 20G40

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\(p\)-Steinberg characters of finite simple groups. (English) Zbl 0874.20009

J. Algebra 187, No. 1, 304-319 (1997).

Reviewer: M.R.Darafsheh (Tehran)

MSC: 20C33

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Pham Huu Tiep; Zalesskij, Alexander E.

Minimal characters of the finite classical groups. (English) Zbl 0901.20031

Commun. Algebra 24, No. 6, 2093-2167 (1996).

Reviewer: Ye Jiachen (Trieste)

MSC: 20G05 20C33 20C25 20G20 20D05

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