Propagating sharp group homology decompositions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A collection C of subgroups of a finite group G can give rise to three different standard formulas for the cohomology of G in terms of either: the subgroups in C; or their centralizers; or their normalizers. We give a short but systematic study of the relationship among such formulas for nine standard collections C of p-subgroups, obtaining some new formulas in the process. To do this, we exhibit some sufficient conditions on the poset C which imply comparison results.
12 pages. Extra counterexamples added. To appear in Advances in Math

Keywords

Algebraic Topology, Group Theory, 20J06 (Primary); 20J05, 55R35, 55P91 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/120737

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402270
 http://arxiv.org/abs/math/0402270
 Advances in Math. 200 (2006), 525--538
 doi:10.1016/j.aim.2005.01.006

Collections

arXiv