On finite groups with automorphisms whose fixed points are Engel

2016/02/04 by Shumyatsky, Pavel, da Silveira, Danilo Sanção
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1602.01661

Abstract

The main result of the paper is the following theorem. Let q be a prime, n a positive integer and A an elementary abelian group of order q². Suppose that A acts coprimely on a finite group G and assume that for each a∈ A^# every element of C_G(a) is n-Engel in G. Then the group G is k-Engel for some \n,q\-bounded number k.

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