CHARACTERIZING SOME GROUPS WITH NILPOTENT DERIVED SUBGROUP

AuthorsAzam Kaheni,Johari Farangis
JournalAlgebraic Structures and their Applications
Page number57-65
Serial number5
Volume number1
Paper TypeFull Paper
Published At2019
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal Indexisc

Abstract

In this paper, groups with trivial intersection between Frattini and derived subgroups are considered. First, some structural properties of these groups are given in an important special case. Then, some family invariants of each n-isoclinism family of such groups are stated. In particular, an explicit bound for the order of each center factor group in terms of the order of its derived subgroup is also provided

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tags: Frattini subgroup, Soluble group, Sylow subgroup