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On element-centralizers in finite groups

✍ Scribed by Mohammad Zarrin

Publisher: Springer
Year: 2009
Tongue: English
Weight: 156 KB
Volume: 93
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s00013-009-0060-1

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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.