Open AccessLocally finite groups containing a $$2$$ 2 -element with Chernikov centralizer
Author(s) -
E. I. Khukhro,
N. Yu. Makarenko,
Pavel Shumyatsky
Publication year - 2014
Publication title -
monatshefte für mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 37
eISSN - 1436-5081
pISSN - 0026-9255
DOI - 10.1007/s00605-014-0701-8
Subject(s) - centralizer and normalizer , mathematics , involution (esoterism) , nilpotent , finite element method , pure mathematics , locally finite group , physics , biology , consciousness , abelian group , neuroscience , thermodynamics
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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