The $\mathfrak{F}$ -Hypercenter and Its Generalizations

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

Chapter 1 in Structure Theory for Canonical Classes of Finite Groups, 2015, pp 1-61 from Springer

Abstract: Abstract In Chpater I, we introduce the theories of $\mathfrak{F}$ -hypercentral subgroups and generalized $\mathfrak{F}$ -hypercentre of groups, quasi $\mathfrak{F}$ -group, factorization of groups with $\mathfrak{F}$ -hypercentral intersection of the factors, the intersection of $\mathfrak{F}$ -maximal subgroup and related applications. At the end of this chapter, we give the relevant supplementary information, and some open problems are presented.

Keywords: Quasinilpotent Groups; Hereditary Saturated Formation; Fitness Classes; Nonempty Formation; Subnormal Subgroup (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-45747-4_1

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DOI: 10.1007/978-3-662-45747-4_1

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