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
From page
3457
To page
3463
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
Record number
2775193
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