AUTO-AVERAGE LENGTH OF FINITE GROUPS

Authors

  • Mohammad Reza Rajabzadeh Moghaddam Department of Mathematics, Khayyam University, and Centre of Excellence in Analysis and Algebraic Structure, Ferdowsi University of Mashhad, Mashhad Iran

DOI:

https://doi.org/10.30495/jme.v11i0.536

Keywords:

Autoconjugate, average length, auto-average length, autocommutator subgroup, autocentre.

Abstract

Abstract.  Let g and h be arbitrary elements of a given finite group G. Then g and h are said to be autoconjugate if there exists some automorphism α of G such that h = g^ α . In this article, we introduce and study auto-average length of autoconjugacy classes of finite groups. Also, we construct some sharp bounds for the auto-average length of finite groups.

Author Biography

Mohammad Reza Rajabzadeh Moghaddam, Department of Mathematics, Khayyam University, and Centre of Excellence in Analysis and Algebraic Structure, Ferdowsi University of Mashhad, Mashhad Iran

Full Professor of Mathematics

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Published

2017-08-02

Issue

Vol. 11

Section

Vol. 11, No. 3, (2017)

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