Metacyclic 2-groups with the same conjugacy classes and their commutativity degree

K  Moradipour; N  H  Sarmin   and A  Erfanian

doi:10.17485/ijst/2012/v5i8.17

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Metacyclic 2-groups with the same conjugacy classes and their commutativity degree

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i8.17

Year: 2012, Volume: 5, Issue: 8, Pages: 1-4

Review Article

Metacyclic 2-groups with the same conjugacy classes and their commutativity degree

K. Moradipour¹ , N. H. Sarmin^2* and A. Erfanian³

^1,2 Department of Mathematical Sciences, Faculty of Science and Ibnu Sina Institute for Fundamental Science Studies,
³ Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structure, [email protected], [email protected], [email protected]
*Author for Correspodence
Sarmin
Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structure
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper the number of conjugacy classes of for some non-abelian finite groups is computed. Also, the commuting probability of , denoted by ( ), is obtained. In particular, the commutativity degree of both in the split and non-split case is described.
Keywords: Conjugacy class, Commutativity degree, Split group.