Propagating sharp group homology decompositions

被引：10

作者：

Grodal, J ^{[1
]}

Smith, SD

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA

来源：

ADVANCES IN MATHEMATICS | 2006年 / 200卷 / 02期

基金：

美国国家科学基金会;

关键词：

cohomology decomposition; induction theory; subgroup complex;

D O I：

10.1016/j.aim.2005.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：525 / 538

页数：14

共 22 条

[1] WEIGHTS FOR SYMMETRIC AND GENERAL LINEAR-GROUPS [J].