Article ID Journal Published Year Pages File Type
6414270 Journal of Algebra 2016 8 Pages PDF
Abstract

The main result of the paper is the following theorem. Let q be a prime and A an elementary abelian group of order q3. Suppose that A acts coprimely on a profinite group G and assume that CG(a) is locally nilpotent for each a∈A#. Then the group G is locally nilpotent.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Profinite groups and the fixed points of coprime automorphisms
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