✦ LIBER ✦

On Centralizers in Locally Finite Groups

✍ Scribed by Pavel Shumyatsky

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 76 KB
Volume: 243
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8871

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✦ Synopsis

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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