Classifying Spaces of Sporadic Groups

Classifying Spaces of Sporadic Groups
Author: David J. Benson
Publisher: American Mathematical Soc.
Total Pages: 310
Release: 2008
Genre: Mathematics
ISBN: 0821844741
GET BOOK

Download Classifying Spaces of Sporadic Groups Book in PDF, Epub and Kindle

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 spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.


Classifying Spaces of Sporadic Groups
Language: en
Pages: 310

Classifying Spaces of Sporadic Groups

Authors: David J. Benson
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

GET EBOOK

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

Equivalences of Classifying Spaces Completed at the Prime Two

Authors: Robert Oliver
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

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
Geometry and Cohomology in Group Theory
Language: en
Pages: 332

Geometry and Cohomology in Group Theory

Authors: Peter H. Kropholler
Categories: Mathematics
Type: BOOK - Published: 1998-05-14 - Publisher: Cambridge University Press

GET EBOOK

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

Applying the Classification of Finite Simple Groups

Authors: Stephen D. Smith
Categories: Mathematics
Type: BOOK - Published: 2018-04-30 - Publisher: American Mathematical Soc.

GET EBOOK

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
Cohomology of Finite Groups
Language: en
Pages: 329

Cohomology of Finite Groups

Authors: Alejandro Adem
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

GET EBOOK

Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant intera