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Finite groups with maximal element centralizers

✍ Scribed by L. F. Kosvintsev

Publisher: SP MAIK Nauka/Interperiodica
Year: 1973
Tongue: English
Weight: 145 KB
Volume: 13
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01146573

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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.