Centralizers of Involutions in Locally Finite Groups |
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Authors: | Mahmut Kuzucuoğlu |
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Institution: | Department of Mathematics , Middle East Technical University , Ankara, Turkey |
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Abstract: | The present article deals with locally finite groups G having an involution φ such that C G (φ) is an SF-group. It is shown that G possesses a normal subgroup B which is a central product of finitely many groups isomorphic to PSL(2, K i ) or SL(2, K i ) for some infinite locally finite fields K i of odd characteristic, such that G, φ]′/B and G/G, φ] are both SF-groups. |
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Keywords: | Centralizers Locally finite groups |
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