Farrell cohomology and centralizets of elementary abelian p-subgroups-Reference-Cited by-同舟云学术

Farrell cohomology and centralizets of elementary abelian p-subgroups

Published:1996-04 Issue:3 Volume:119 Page:403-417
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Lee Chun-Nip

Abstract

Let Γ be a discrete group. Γ is said to have finite virtual cohomological dimension (vcd) if there exists a finite index torsion-free subgroup Γ′ of G such that Γ′ has finite cohomological dimension over ℤ. Examples of such groups include finite groups, fundamental group of a finite graph of finite groups, arithmetic groups, mapping class groups and outer automorphism groups of free groups. One of the fundamental problems in topology is to understand the cohomology of these finite vcd-groups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. [11] Lee C-N. . Homotopy decomposition of the classifying space of virtually torsion-free groups and applications, preprint.

2. [10] Lee C-N. . On the unstable homotopy type of the classifying space of virtually torsion-free groups, to appear in Math. Zeit.

3. Homotopy decomposition of classifying spaces via elementary Abelian subgroups

4. [8] Henn H-W. . Centralizers of elementary abelian p subgroups, the Borei construction of the singular locus and applications to the cohomology of discrete groups (preprint).

5. Representing Tate cohomology of G-spaces

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