Conjugacy classes and commuting probability in finite metacyclic p-groups

K. Moradipour^a, N.H. Sarmin^b,*, A. Erfanian^c

ABSTRACT: Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number of conjugacy classes and the commutativity degree of G. In particular, we describe the number of conjugacy classes both in the split and non-split case.

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^a	Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
^b	Department of Mathematical Sciences, Faculty of Science and Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
^c	Department of Pure Mathematics and Centre of Excellence in Analysis on Algebraic Structure, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

* Corresponding author, E-mail: nhs@utm.my

Received 8 Nov 2011, Accepted 27 Feb 2012

Conjugacy classes and commuting probability in finite metacyclic p-groups

K. Moradipoura, N.H. Sarminb,*, A. Erfanianc

K. Moradipour^a, N.H. Sarmin^b,*, A. Erfanian^c