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• W2079922801 abstract "Abstract Let A stand for the group isomorphic with S 4 , the symmetric group on four symbols. Let V denote the normal subgroup of order four in A and choose an involution α ∈ A ∖ V . The Sylow 2-subgroup D of A is V 〈 α 〉 and this is isomorphic with the dihedral group of order 8. We prove that if G is a locally finite group containing a subgroup isomorphic with D such that C G ( V ) is finite and C G ( α ) has finite exponent, then [ G , D ] ′ has finite exponent. If G is a locally finite group containing a subgroup isomorphic with A such that C G ( V ) is finite and C G ( α ) has finite exponent, then G has finite exponent." @default.
• W2079922801 created "2016-06-24" @default.
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• W2079922801 date "2014-01-01" @default.
• W2079922801 modified "2023-09-27" @default.
• W2079922801 title "On the structure of locally finite groups with small centralizers" @default.
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• W2079922801 doi "https://doi.org/10.1016/j.jalgebra.2013.08.043" @default.
• W2079922801 hasPublicationYear "2014" @default.
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