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   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 n-isoclinism 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
 
 

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