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Homological stability: a tool for computations. (English) Zbl 1535.20270

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2904-2927 (2023).

MSC: 20J05

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Ganguly, Jyotirmoy; Joshi, Rohit

Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\). (English) Zbl 1530.20156

Res. Math. Sci. 10, No. 2, Paper No. 16, 23 p. (2023).

MSC: 20G05 20G40 20G20

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The topological Hochschild homology of algebraic \(K\)-theory of finite fields. (English) Zbl 1475.19002

Ann. \(K\)-Theory 6, No. 1, 29-96 (2021).

Reviewer: Markus Szymik (Trondheim)

MSC: 19D55 55P42

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Sprehn, David; Wahl, Nathalie

Homological stability for classical groups. (English) Zbl 1460.20011

Trans. Am. Math. Soc. 373, No. 7, 4807-4861 (2020).

Reviewer: Wilberd van der Kallen (Utrecht)

MSC: 20J05 11E57 20G10

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Touzé, Antoine

Cohomology of algebraic groups with coefficients in twisted representations. (English) Zbl 07907795

Carlson, Jon F. (ed.) et al., Geometric and topological aspects of the representation theory of finite groups. PIMS summer school and workshop, Vancouver, Canada, July 27 – August 5, 2016. Cham: Springer; Vancouver: Pacific Institute for the Mathematical Sciences. Springer Proc. Math. Stat. 242, 425-463 (2018).

MSC: 20G10 18G15 20G15

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Etingof, Pavel; Galindo, César

Reflection fusion categories. (English) Zbl 1442.18039

J. Algebra 516, 172-196 (2018).

MSC: 18M20 19D23 20F55

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Hendricks, Kristen; Lipshitz, Robert; Sarkar, Sucharit

A flexible construction of equivariant Floer homology and applications. (English) Zbl 1371.53088

J. Topol. 9, No. 4, 1153-1236 (2016); corrigendum ibid. 13, No. 3, 1317-1331 (2020).

MSC: 53D40 57M27 57R58 55T05

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Nosaka, Takefumi

Homotopical interpretation of link invariants from finite quandles. (English) Zbl 1334.57011

Topology Appl. 193, 1-30 (2015).

Reviewer: Sang Youl Lee (Pusan)

MSC: 57M27 57M25 55N99

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Berrick, A. J.; Karoubi, M.; Østvær, P. A.

Hermitian periodicity and cohomology of infinite orthogonal groups. (English) Zbl 1296.19002

J. \(K\)-Theory 12, No. 1, 203-211 (2013).

Reviewer: Claudio Pedrini (Genova)

MSC: 19D50

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Aguadé, Jaume; Ruiz, Albert

Cohomology of Kac-Moody groups over a finite field. (English) Zbl 1301.55010

Algebr. Geom. Topol. 13, No. 4, 2207-2238 (2013).

Reviewer: Július Korbaš (Bratislava)

MSC: 55R35 20G44 20J06 81R10

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The chromatic filtration of the Burnside category. (English) Zbl 1268.55002

Math. Proc. Camb. Philos. Soc. 154, No. 2, 287-302 (2013).

Reviewer: Samuel Smith (Philadelphia)

MSC: 55P42 19A22 55P60

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Benson, David J.; Greenlees, John P. C.; Shamir, Shoham

Complete intersections and mod \(p\) cochains. (English) Zbl 1261.13007

Algebr. Geom. Topol. 13, No. 1, 61-114 (2013).

Reviewer: Luke Wolcott (Rhinebeck)

MSC: 13C40 55P43 13D99 20J06 55N99 14M10 55P42 55U35 20J05

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Guillot, Pierre

The computation of Stiefel-Whitney classes. (English) Zbl 1226.20046

Ann. Inst. Fourier 60, No. 2, 565-606 (2010).

Reviewer: Saïd Zarati (Tunis)

MSC: 20J06 55R40 55S10 57R20 14C15

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Broto, Carles; Møller, Jesper M.

Chevalley \(p\)-local finite groups. (English) Zbl 1154.55009

Algebr. Geom. Topol. 7, 1809-1919 (2007).

Reviewer: Ralf Gramlich (Darmstadt)

MSC: 55R35 55P15 55P10 55R40 20D20

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Flores, Ramón J.

Nullification and cellularization of classifying spaces of finite groups. (English) Zbl 1112.55009

Trans. Am. Math. Soc. 359, No. 4, 1791-1816 (2007).

Reviewer: Jean Claude Thomas (Angers)

MSC: 55P20 55P60

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Hochschild cohomology of tame blocks. (English) Zbl 1041.16004

J. Algebra 271, No. 2, 798-826 (2004).

Reviewer: Alexander Zimmermann (Amiens)

MSC: 16E40 20J06 20C05 20C20

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Broto, Carlos; Levi, Ran

On the homotopy type of \(BG\) for certain finite 2-groups \(G\). (English) Zbl 0945.55012

Trans. Am. Math. Soc. 349, No. 4, 1487-1502 (1997).

MSC: 55R35 55R40 55Q52 55P15

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Bayen, Dilip; Bruner, Robert R.

Real connective \(K\)-theory and the quaternion group. (English) Zbl 0854.19005

Trans. Am. Math. Soc. 348, No. 6, 2201-2216 (1996).

Reviewer: B.Dundas (Oslo)

MSC: 19L41 55N15 19L47 19L64 55R35 55Q91 55M05

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A note on the homotopy invariance of Pontrjagin classes. (English) Zbl 0855.55015

Topology Appl. 69, No. 3, 205-209 (1996).

Reviewer: A.Kondrat’ev (Pensacola)

MSC: 55R40 57R20

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**Approximating \(K_ *(\mathbb{Z})\) through degree five.** (English) Zbl 0791.19003

\(K\)-Theory 7, No. 2, 175-200 (1993).

Reviewer: M.Golasiński (Toruń)

MSC: 19D50 18F25

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Jeandupeux, Denis

Integral cohomology of classical groups over a finite field. (English) Zbl 0840.20037

J. Pure Appl. Algebra 84, No. 1, 43-58 (1993).

Reviewer: Ya.N.Nuzhin (Krasnoyarsk)

MSC: 20G10 20G40

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On the homotopy inverse limits of transfer maps. (English) Zbl 0717.55009

Math. Z. 205, No. 1, 97-103 (1990).

Reviewer: V.P.Snaith

MSC: 55P42 55R35

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Mitchell, S. A.

The Morava K-theory of algebraic K-theory spectra. (English) Zbl 0709.55011

\(K\)-Theory 3, No. 6, 607-626 (1990).

Reviewer: E.Ossa

MSC: 55Q50 55N15 18F25

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Huebschmann, Johannes

The mod-p cohomology rings of metacyclic groups. (English) Zbl 0688.20032

J. Pure Appl. Algebra 60, No. 1, 53-103 (1989).

Reviewer: O.Talelli

MSC: 20J06 20J05 20E22

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Arlettaz, Dominique

Torsion classes in the cohomology of congruence subgroups. (English) Zbl 0685.55008

Math. Proc. Camb. Philos. Soc. 105, No. 2, 241-248 (1989).

Reviewer: J.Huebschmann

MSC: 55P47 20J05

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The cohomology of the finite general linear group. (English) Zbl 0655.20031

J. Pure Appl. Algebra 54, No. 1, 95-115 (1988).

Reviewer: A.Ash

MSC: 20G10 20G40 20J06

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Charney, Ruth; Lee, Ronnie

Characteristic classes for the classifying spaces of Hodge structures. (English) Zbl 0647.14003

\(K\)-Theory 1, No. 3, 237-270 (1987).

Reviewer: A.Givental’

MSC: 14C30 14C35

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Huebschmann, Johannes

The cohomology of \(F\Psi^ q\). The additive structure. (English) Zbl 0626.55013

J. Pure Appl. Algebra 45, 73-91 (1987).

Reviewer: T.Kobayashi

MSC: 55S25 55R50 55Q50 55N15

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Charney, Ruth; Lee, Ronnie

An application of homotopy theory to mapping class groups. (English) Zbl 0617.57006

J. Pure Appl. Algebra 44, 127-135 (1987).

Reviewer: B.Zimmermann

MSC: 57N05 57R50 55Q50 20J99

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Algebraic K-theory. (English) Zbl 0559.18007

J. Sov. Math. 28, 870-923 (1985).

MSC: 18F25 14C35 16E20 13D15 18-02 18E10

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Diethelm, Thomas

The mod p cohomology rings of the nonabelian split metacyclic p-groups. (English) Zbl 0548.20040

Arch. Math. 44, 29-38 (1985).

MSC: 20J06

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Arlettaz, Dominique

Chern classes of integral and rational representations of discrete groups. (Chern-Klassen von ganzzahligen und rationalen Darstellungen diskreter Gruppen.) (German) Zbl 0561.55014

Math. Z. 187, 49-60 (1984).

Reviewer: Charles B. Thomas (Cambridge)

MSC: 55R40 20J06 18F25 20C32

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Hirata, Koichi; Kono, Akira

On the algebraic K-cohomology of lens spaces. (English) Zbl 0561.55004

Publ. Res. Inst. Math. Sci. 20, 1083-1089 (1984).

Reviewer: T.Kobayashi

MSC: 55N15 18F25 55N20 55S25

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On the cohomology of algebraic K-spectra over finite fields. (English) Zbl 0532.55022

Publ. Res. Inst. Math. Sci. 19, 743-752 (1983).

Reviewer: H.Höslí

MSC: 55S25 55T20 18F25 55N22 55S45 55S10

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Fiedorowicz, Zbigniew; Priddy, Stewart

An automorphism of orthogonal algebraic K-theory. (English) Zbl 0499.18014

J. Pure Appl. Algebra 26, 281-292 (1982).

MSC: 18F25 55Q50

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Cohomology algebras with two generators. (English) Zbl 0482.55017

Math. Z. 177, 289-296 (1981).

MSC: 55S05 55S10 55T15

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The cohomology of the \(GL_2\) of a finite field. (English) Zbl 0442.20034

Arch. Math. 34, 509-516 (1980).

MSC: 20G10 20G40 20J06

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Friedlander, E.; Priddy, S.

Karoubi’s conjecture for finite fields. (English) Zbl 0416.18017

J. Pure Appl. Algebra 10(1977), 233-238 (1978).

MSC: 18F25 11T99 55N15 55P47 55R45

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