Centralizers of gap groups

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Abstract

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.

Original languageEnglish
Pages (from-to)101-121
Number of pages21
JournalFundamenta Mathematicae
Volume226
Issue number2
DOIs
Publication statusPublished - Jan 1 2014

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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