Title of article
Characterizing some groups with nilpotent derived subgroup
Author/Authors
Kaheni, Azam Department of Mathematics - University of Birjand, Birjand, Iran , Johari, Farangis Department of Pure Mathematics - Ferdowsi University of Mashhad, Mashhad, Iran
Pages
9
From page
55
To page
63
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.
Keywords
Frattini subgroup , Soluble group , Sylow subgroup
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2451900
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