✦ LIBER ✦

A note on the localization of finite groups

✍ Scribed by Assaf Libman

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 54 KB
Volume: 148
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00019-0

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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.