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Centralizers of finite nilpotent subgroups in locally finite groups

✍ Scribed by V. V. Belyaev; B. Hartley

Publisher: Springer US
Year: 1996
Tongue: English
Weight: 794 KB
Volume: 35
Category: Article
ISSN: 0002-5232
DOI: 10.1007/bf02367023

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The main result of the paper is the following theorem. Let G be a locally finite group containing a finite p-subgroup A such that C G A is finite and a non-cyclic subgroup B of order p 2 such that C G b has finite exponent for all b ∈ B # . Then G is almost locally solvable and has finite exponent.

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