

on the converse of baer's theorem for generalizations of groups with trivial frattini subgroups



نویسنده

taghavi yasaman ,kayvanfar saeed ,chakaneh marzieh

منبع

journal of algebraic structures and their applications  2019  دوره : 6  شماره : 1  صفحه:139 148



چکیده

in 2012, guo and gong proved that if $g$ is a finite nonabelian group with $phi(g)=1$, then $g:z(g), in which u(g) is the nilpotent residual of g. we show that the assumption of niteness of the group can be omitted. moreover, we investigate converse of schur and baer's theorems for groups that can be seen as generalizations of groups with trivial frattini subgroups and state some properties of nisoclinism families of these groups.

کلیدواژه

baer’s theorem ,frattini subgroup ,upper and lower central series

آدرس

ferdowsi university of mashhad, department of pure mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran

پست الکترونیکی

m.chakaneh@mail.um.ac.ir










