Primitive pairs of p-solvable groups

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The subgroup structure of a finite group G can be quite complex However, in the presence of a group R of automorphisms of G and provided we consider only certain subgroups related to R. the situation appears much simpler The purpose of this article is to provide concrete results in this direction These results have been applied to give a new proof of the Solvable Signalizer Functor Theorem. (C) 2010 Elsevier Inc All rights reserved


Original languageEnglish
Pages (from-to)841-859
Number of pages19
JournalJournal of Algebra
Issue number4
Publication statusPublished - 15 Aug 2010


  • 2F-module, Nearly quadratic module, Primitive pair, Automorphism