Title of article :
Some Finite Groups with a Unique Proper Non-trivial Characteristic Subgroup
Author/Authors :
Kowsari ، Zeinab Department of Mathematics - Faculty of Mathematical Sciences and Computer - Kharazmi University , Fouladi ، Shirin Department of Mathematics - Faculty of Mathematical Sciences and Computer - Kharazmi University , Orfi ، Reza Department of Mathematics - Faculty of Mathematical Sciences and Computer - Kharazmi University
Abstract :
In this paper, first we give a necessary and sufficient condition on a non-abelian p-group G of exponent p2 (p 2) possessing a unique proper non-trivial characteristic subgroup. Then we study some families of finite groups with a unique proper non-trivial characteristic subgroup. In particular, we study metacyclic groups, 2-generated p-groups, minimal non-abelian groups, A2-group and also p-groups of order less than p7.
Keywords :
UCS p , groups , Characteristic subgroup , A2 , group
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
