Title : ( Some Structural Properties of Groups Having Trivial Intersection Between Their Frattini and Derived Subgroups )
Authors: اعظم کاهنی , Farangis Johari , Marzieh Chakaneh , Saeed Kayvanfar ,
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Abstract
In this talk we focus on groups as $G$ such that $G'\cap \phi(G)=1.$ It is shown that each $n$-isoclinism family of these groups has a unique $n$-stem group and also every $(n+1)$-isoclinism induces an $n$-isoclinism. Moreover, some structural properties of these groups are also given in an important special case.
Keywords
, $n$, isoclinism; Solvable group; Elementary group.
@inproceedings{paperid:1057303,
author = {اعظم کاهنی and Johari, Farangis and Chakaneh, Marzieh and Kayvanfar, Saeed},
title = {Some Structural Properties of Groups Having Trivial Intersection Between Their Frattini and Derived Subgroups},
booktitle = {46th Annual Iranian Mathematics Conference},
year = {2016},
location = {تبریز, IRAN},
keywords = {$n$-isoclinism; Solvable group; Elementary group.},
}
%0 Conference Proceedings
%T Some Structural Properties of Groups Having Trivial Intersection Between Their Frattini and Derived Subgroups
%A اعظم کاهنی
%A Johari, Farangis
%A Chakaneh, Marzieh
%A Kayvanfar, Saeed
%J 46th Annual Iranian Mathematics Conference
%D 2016
