Equivalences of Classifying Spaces Completed at the Prime Two

Equivalences of Classifying Spaces Completed at the Prime Two
Author :
Publisher : American Mathematical Soc.
Total Pages : 116
Release :
ISBN-10 : 9780821838280
ISBN-13 : 0821838288
Rating : 4/5 (288 Downloads)

Book Synopsis Equivalences of Classifying Spaces Completed at the Prime Two by : Robert Oliver

Download or read book Equivalences of Classifying Spaces Completed at the Prime Two written by Robert Oliver and published by American Mathematical Soc.. This book was released on 2006 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fusion. This is a consequence of a technical algebraic result, which says that for a finite group $G$, the second higher derived functor of the inverse limit vanishes for a certain functor $\mathcal{Z}_G$ on the $2$-subgroup orbit category of $G$. The proof of this result uses the classification theorem for finite simple groups.


Equivalences of Classifying Spaces Completed at the Prime Two Related Books

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.

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
Equivalences of Classifying Spaces Completed at the Prime Two
Language: en
Pages: 102
Authors: Robert Oliver
Categories: Classifying spaces
Type: BOOK - Published: 2014-09-11 - Publisher: American Mathematical Society(RI)

GET EBOOK

Introduction Higher limits over orbit categories Reduction to simple groups A relative version of $\Lambda$-functors Subgroups which contribute to higher limits
Handbook of Homotopy Theory
Language: en
Pages: 1142
Authors: Haynes Miller
Categories: Mathematics
Type: BOOK - Published: 2020-01-23 - Publisher: CRC Press

GET EBOOK

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open pro
Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
Language: en
Pages: 520
Authors: Paul Gregory Goerss
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

GET EBOOK

As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the con
Ramanujan's Forty Identities for the Rogers-Ramanujan Functions
Language: en
Pages: 110
Authors: Bruce C. Berndt
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

GET EBOOK

Sir Arthur Conan Doyle's famous fictional detective Sherlock Holmes and his sidekick Dr. Watson go camping and pitch their tent under the stars. During the nigh