Characterizing some groups with nilpotent derived subgroup
نویسندگان
1 Department of Mathematics, University of Birjand, Birjand, Iran.
2 Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
doi
10.22034/as.2019.1353چکیده
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.
