Groups With Given Systems of X-Permutable Subgroups

Wenbin Guo ()
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Wenbin Guo: University of Science and Technology of China, School of Mathematical Sciences

Chapter 2 in Structure Theory for Canonical Classes of Finite Groups, 2015, pp 63-128 from Springer

Abstract: Abstract In Chapter II, we introduce the theory of $X$ -permutable subgroups and their related results. In particular, the non-trivial generalizations of Schur-Zassenhaus theorem, Hall-Cunihin theorem and new characterizations of some classes are given. At the end of this chapter, we give the relevant supplementary information, and some open problems are presented.

Keywords: Schur-Zassenhaus Theorem; Prime Power Index; Hall Subgroup; Supersoluble Groups; Revina (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-662-45747-4_2

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