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Large centralizers in finite solvable groups

✍ Scribed by Edward A. Bertram

Book ID: 112885358
Publisher: The Hebrew University Magnes Press
Year: 1984
Tongue: English
Weight: 392 KB
Volume: 47
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02760607

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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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