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Classifying Spaces of Sporadic Groups
Language: en
Pages: 310
Authors: David J. Benson
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying s
Equivalences of Classifying Spaces Completed at the Prime Two
Language: en
Pages: 116
Authors: Robert Oliver
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equiv
Cohomology of Finite Groups
Language: en
Pages: 329
Authors: Alejandro Adem
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant intera
Geometry and Cohomology in Group Theory
Language: en
Pages: 332
Authors: Peter H. Kropholler
Categories: Mathematics
Type: BOOK - Published: 1998-05-14 - Publisher: Cambridge University Press

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This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combin
Applying the Classification of Finite Simple Groups
Language: en
Pages: 248
Authors: Stephen D. Smith
Categories: Mathematics
Type: BOOK - Published: 2018-04-30 - Publisher: American Mathematical Soc.

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Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, althou