Mishra, Ashish; Paul, Digjoy; Singla, Pooja On quasi Steinberg characters of complex reflection groups. (English) Zbl 1535.20048 Algebr. Represent. Theory 26, No. 6, 3101-3118 (2023). Reviewer: Amin Saeidi (Polokwane) MSC: 20C15 20F55 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Putman, Andrew; Snowden, Andrew The Steinberg representation is irreducible. (English) Zbl 1523.16029 Duke Math. J. 172, No. 4, 775-808 (2023). Reviewer: Peter Danchev (Sofia) MSC: 16S34 20E42 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yang Nonsolvable groups whose irreducible character degrees have special 2-parts. (English) Zbl 1511.20027 Front. Math. China 17, No. 6, 1083-1088 (2022). MSC: 20C15 × Cite Format Result Cite Review PDF Full Text: DOI
Navarro, Gabriel; Rizo, Noelia; Schaeffer Fry, A. A. Principal blocks for different primes. I. (English) Zbl 1511.20044 J. Algebra 610, 632-654 (2022). MSC: 20C20 20C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Paul, Digjoy; Singla, Pooja On quasi Steinberg characters of symmetric and alternating groups and their double covers. (English) Zbl 07584706 J. Algebra Appl. 21, No. 10, Article ID 2250199, 23 p. (2022). MSC: 20C30 20C25 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grittini, Nicola; Pellegrini, Marco Antonio Sylow normalizers and irreducible characters with small cyclotomic field of values. (English) Zbl 1512.20023 J. Algebra 608, 445-464 (2022). MSC: 20C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beraldo, Dario Deligne-Lusztig duality on the stack of local systems. (English) Zbl 1509.22010 J. Reine Angew. Math. 778, 31-63 (2021). MSC: 22E57 14D24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nguyen, Hung Ngoc Quasisimple classical groups and their complex group algebras. (English) Zbl 1294.20004 Isr. J. Math. 195, Part B, 973-998 (2013). Reviewer: Nan Ji-Zhu (Dalian) MSC: 20C05 20C33 20C15 20D06 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tong-Viet, Hung P. The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees. (English) Zbl 1245.20010 J. Algebra 339, No. 1, 357-369 (2011). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20C33 20D06 20D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Jinkui; Wang, Weiqiang Twisted Dickson-Mui invariants and the Steinberg module multiplicity. (English) Zbl 1238.13014 Math. Proc. Camb. Philos. Soc. 151, No. 1, 43-57 (2011). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Craven, David A.; Eaton, Charles W.; Kessar, Radha; Linckelmann, Markus The structure of blocks with a Klein four defect group. (English) Zbl 1250.20002 Math. Z. 268, No. 1-2, 441-476 (2011). Reviewer: Alexander Zimmermann (Amiens) MSC: 20C05 20C20 16S35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Szechtman, Fernando Modular reduction of the Steinberg lattice of the general linear group. (English) Zbl 1173.20034 J. Algebra Appl. 7, No. 6, 793-807 (2008). Reviewer: Ye Jiachen (Shanghai) MSC: 20G05 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campbell, Peter S. Steinberg characters for Chevalley groups over finite local rings. (English) Zbl 1124.20029 J. Algebra 313, No. 2, 486-530 (2007). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20G35 20C08 20E42 20J05 × Cite Format Result Cite Review PDF Full Text: DOI
Campbell, Peter S. An analogue of the Steinberg character for the general linear group over the integers modulo a prime power. (English) Zbl 1079.20062 J. Algebra 282, No. 1, 368-385 (2004). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20G35 × Cite Format Result Cite Review PDF Full Text: DOI
Zarhin, Yuri G. Hyperelliptic Jacobians and simple groups \(U_3(2^m)\). (English) Zbl 1001.14012 Proc. Am. Math. Soc. 131, No. 1, 95-102 (2003). MSC: 14H40 14G15 14K05 14J50 14G32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Humphreys, J. E. The Steinberg representation. (English) Zbl 0627.20024 Bull. Am. Math. Soc., New Ser. 16, 247-263 (1987). Reviewer: Shi Jianyi MSC: 20G05 20C20 20G40 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, Morton E. On the \(p\)-deficiency class of a finite group. (English) Zbl 0602.20013 J. Algebra 94, 411-424 (1985). Reviewer: J.H.Lindsey, II MSC: 20C20 20D05 20D40 × Cite Format Result Cite Review PDF Full Text: DOI
Björner, Anders Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings. (English) Zbl 0546.06001 Adv. Math. 52, 173-212 (1984). Reviewer: J.Neggers MSC: 06A06 05A19 13H10 57Q05 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Alvis, Dean Duality and character values of finite groups of Lie type. (English) Zbl 0485.20030 J. Algebra 74, 211-222 (1982). MSC: 20G05 20G40 20C15 20C10 × Cite Format Result Cite Review PDF Full Text: DOI
Surowski, David B. A reflection sieve for finite BN-pairs of types \(A_n\), \(B_n\) and \(C_n\). (English) Zbl 0468.20036 J. Algebra 73, 538-551 (1981). MSC: 20G10 20G05 20J05 × Cite Format Result Cite Review PDF Full Text: DOI
Curtis, Charles W. Truncation and duality in the character ring of a finite group of Lie type. (English) Zbl 0426.20006 J. Algebra 62, 320-332 (1980). MSC: 20C15 20G40 20G05 20C30 × Cite Format Result Cite Review PDF Full Text: DOI
Alvis, Dean The duality operation in the character ring of a finite Chevalley group. (English) Zbl 0485.20029 Bull. Am. Math. Soc., New Ser. 1, 907-911 (1979). MSC: 20G05 20G40 20C15 20C10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Tinberg, N. B. Some indecomposable modules of groups with split (B,N)-pairs. (English) Zbl 0434.20002 J. Algebra 61, 508-526 (1979). MSC: 20C20 × Cite Format Result Cite Review PDF Full Text: DOI
Curtis, Charles W. Representations of finite groups of Lie type. (English) Zbl 0416.20002 Bull. Am. Math. Soc., New Ser. 1, 721-757 (1979). MSC: 20C15 20G05 20G40 × Cite Format Result Cite Review PDF Full Text: DOI
Kilmoyer, Robert W. Principal series representations of finite Chevalley groups. (English) Zbl 0389.20008 J. Algebra 51, 300-319 (1978). MSC: 20C15 20C30 × Cite Format Result Cite Review PDF Full Text: DOI
Cline, Edward; Parshall, Brian; Scott, Leonard Cohomology of finite groups of Lie type. I. (English) Zbl 0412.20044 Publ. Math., Inst. Hautes Étud. Sci. 45, 169-191 (1975). MSC: 20J05 20G40 20G05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Kawanaka, Noriaki Unipotent elements and characters of finite Chevalley groups. (English) Zbl 0329.20025 Proc. Japan Acad. 51, 156-158 (1975). MSC: 20G05 × Cite Format Result Cite Review PDF Full Text: DOI
Chunikhin, S. A.; Shemetkov, L. A. Finite groups. (English) Zbl 0285.20018 J. Sov. Math. 1, 291-332 (1973). MSC: 20Dxx 20D99 × Cite Format Result Cite Review PDF Full Text: DOI
Bickel, Thomas F. Circles in (B,N)-groups. (English) Zbl 0239.20049 Math. Z. 130, 249-253 (1973). MSC: 20B10 20F99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Kawanaka, Noriaki On characters and unipotent elements of finite Chevalley groups. (English) Zbl 0268.20030 Proc. Japan Acad. 48, 589-594 (1972). MSC: 20G05 20C05 20G40 × Cite Format Result Cite Review PDF Full Text: DOI
Richen, Forrest A. Groups with a Steinberg character. (English) Zbl 0232.20011 Math. Z. 128, 297-304 (1972). MSC: 20C15 20D06 20C20 20D20 20C33 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Richen, Forrest Blocks of defect zero of split (B,N) pairs. (English) Zbl 0232.20009 J. Algebra 21, 275-279 (1972). MSC: 20E42 × Cite Format Result Cite Review PDF Full Text: DOI Link
Curtis, C. W.; Iwahori, N.; Kilmoyer, R. Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs. (English) Zbl 0254.20004 Publ. Math., Inst. Hautes Étud. Sci. 40, 81-116 (1971). MSC: 20C15 20C05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Humphreys, J. E. Defect groups for finite groups of Lie type. (English) Zbl 0198.04502 Math. Z. 119, 149-152 (1971). Reviewer: J. E. Humphreys MSC: 20-XX × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Green, James A. On the Steinberg characters of finite Chevalley groups. (English) Zbl 0219.20003 Math. Z. 117, 272-288 (1970). MSC: 20E42 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Curtis, C. W.; Fossum, T. V. On centralizer rings and characters of representations of finite groups. (English) Zbl 0185.06801 Math. Z. 107, 402-406 (1968). × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Curtis, C. W. A character-theoretic criterion for a coset geometry to be a generalized polygon. (English) Zbl 0189.02602 J. Algebra 7, 208-217 (1967). × Cite Format Result Cite Review PDF Full Text: DOI