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References (10)
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- Publisher
- Oxford University Press
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/S0024609397003068
- Publisher site
- See Article on Publisher Site
Abstract
Abstract For n a positive integer, a group G is called core-n if H/HG has order at most n for every subgroup H of G (where HG is the normal core of H, the largest normal subgroup of G contained in H). It is proved that a locally finite core-n group G has an abelian subgroup whose index in G is bounded in terms of n. 1991 Mathematics Subject Classification 20D15, 20D60, 20F30. © London Mathematical Society
Journal
Bulletin of the London Mathematical Society – Oxford University Press
Published: Sep 1, 1997