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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).
Received: 2005-11-02
Revised: 2006-04-29
Published Online: 2007-04-22
Published in Print: 2007-03-20
© Walter de Gruyter
