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Locally Finite Groups All of Whose Subgroups are Boundedly Finite over Their Cores |
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| Authors: | Cutolo G; Khukhro E I; Lennox J C; Rinauro S; Smith H; Wiegold James |
| Institution: | Università degli Studi di Napoli ‘Federico II’, Dipartimento di Matematica e Applicazioni Via Cintia–Monte S. Angelo, I-80126 Napoli, Italy School of Mathematics, University of Wales College of Cardiff 23 Senghennydd Road, P.O. Box No. 926, Cardiff CF2 4YH Università degli Studi della Basilicata, Dipartimento di Matematica Via N. Sauro, 85, I-85100 Potenza, Italy Department of Mathematics, Bucknell University Lewisburg, PA 17837, USA |
| Abstract: | For n a positive integer, a group G is called core-n if H/HGhas order at most n for every subgroup H of G (where HG is thenormal core of H, the largest normal subgroup of G containedin H). It is proved that a locally finite core-n group G hasan abelian subgroup whose index in G is bounded in terms ofn. 1991 Mathematics Subject Classification 20D15, 20D60, 20F30. |
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