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Publication Date:
April 2007
ISSN:
1435-4446
DOI:
10.1515/JGT.2007.018

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Editor-in-Chief: Wilson, John S.

Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.

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Finite groups with few non-cyclic subgroups

1 / Xubo Zhao2

Citation Information: Journal of Group Theory. Volume 10, Issue 2, Pages 225–233, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2007.018, April 2007

Publication History:
Received:
2005-11-02
Revised:
2006-04-29
Published Online:
2007-04-22

Abstract

For a group H we denote by δ(H) the number of conjugacy classes of non-cyclic subgroups. Groups all of whose soluble subgroups H satisfy δ(H) ≤ 2 are classified. It is also shown that the derived length and Fitting length of a soluble group G are bounded by functions of δ(G).

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