Locally finite groups containing a 2-element with Chernikov centralizer

2014/10/04 by E. I. Khukhro, N. Yu. Makarenko, Khukhro, E. I. +3
Mathematics · Computer Science · #Finite Group Theory Research #Advanced Algebra and Geometry #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1410.1521

Abstract

Suppose that a locally finite group G has a 2-element g with Chernikov centralizer. It is proved that if the involution in ⟨ g⟩ has nilpotent centralizer, then G has a soluble subgroup of finite index.

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