On Centralizers in Locally Finite Groups
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Pavel Shumyatsky
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Article
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2001
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Elsevier Science
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English
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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 โ B # . Then G is almost locally solvable and has finite exponent.