Title of article :
Two new characteristic subgroups
Author/Authors :
Barin ، S. Department of Mathematics - University of Birjand , Nasrabadi ، M. M. Department of Mathematics - University of Birjand
Abstract :
In this paper, we first define two new characteristic subgroups of a group G. Then we identify the relationships of these subgroups with G´´, S(G), Ivar(G), and some different homomorphisms. Particularly, with one of these two subgroups, we determine the structure of Ivar(G) and a subgroup of it that fixes Z(G) element-wise.
Keywords :
IA , group , commutator subgroup , IA , central subgroup , Ivar(G)
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
