Centralizers of gap groups

被引：2

作者：

Sumi, Toshio ^{[1
]}

机构：

[1] Kyushu Univ, Fac Arts & Sci, Nishi Ku, Fukuoka 8190395, Japan

来源：

FUNDAMENTA MATHEMATICAE | 2014年 / 226卷 / 02期

关键词：

gap group; gap module; representation; SMITH EQUIVALENCE; FINITE-GROUPS; ODD ORDER; REPRESENTATIONS;

D O I：

10.4064/fm226-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A finite group G is called a gap group if there exists an RG-module Which has no large isotropy groups except at zero and satisfies, the gap condition. The gap condition facilitates the process of equivariant surgery. Many groups are gap groups and also many groups are not. In this paper, we clarify the relation between a gap group and the structures of its centralizers. We show that a nonsolvable group which has a normal, odd prime power index proper subgroup is a gap group.

引用

页码：101 / 121

页数：21

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