Various Bounds of Group of Autocentral Automorphisms

  • Harsha Arora Guru Jambheshwar University of Science and Technology Hisar
Keywords: Automorphism, Central automorphism, Autocentral automorphism

Abstract

In this paper, we find various bounds for the group of all autocentral automorphisms of a finite group $G$. We consider the cases, where the group of all autocentral automorphisms coincides with its upper bound, that is, the group of all central automorphisms and also where it coincides with its lower bound, that is, the group of all inner automorphisms.

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Author Biography

Harsha Arora, Guru Jambheshwar University of Science and Technology Hisar

Assistant Professor of Mathematics, Govt. College Hansi (125033) (Hisar)

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Published
2019-08-30
How to Cite
Arora, H. (2019). Various Bounds of Group of Autocentral Automorphisms. MathLAB Journal, 3, 1-12. Retrieved from http://purkh.com/index.php/mathlab/article/view/328
Section
Research Articles