Group actions on spheres with rank one prime power isotropy

被引：0

作者：

Hambleton, Ian ^{[1
]}

Yalcin, Ergun ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

MATHEMATICAL RESEARCH LETTERS | 2017年 / 24卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

ORBIT CATEGORY; FINITE-GROUPS; REPRESENTATIONS; COMPLEXES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a rank two finite group G admits a finite G-CW-complex X similar or equal to S-n with rank one prime power isotropy if and only if G does not p'-involve Qd(p) for any odd prime p. This follows from a more general theorem which allows us to construct a finite G-CW-complex by gluing together a given G-invariant family of representations defined on the Sylow subgroups of G.

引用

收藏

页码：379 / 400

页数：22

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