The influence of nilpotent subgroups on the nilpotent length and derived length of a finite group

In 1969, Dade showed that the nilpotent length of a finite soluble group is bounded in terms of the composition length of a Carter subgroup. The main aim of this thesis is to prove a dual result to this involving nilpotent injectors instead of Carter subgroups: namely, we prove the following theorem...

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Bibliographic Details
Main Author: Jones, Graham Robert
Published: University of Warwick 1983
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.347655