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Metacyclic 2-groups with the same Conjugacy Classes and their Commutativity Degree


Affiliations
1 Department of Mathematical Sciences, Faculty of Science and Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
2 Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structure, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran, Islamic Republic of
 

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

Keywords

Conjugacy Class, Commutativity Degree, Split Group
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  • Metacyclic 2-groups with the same Conjugacy Classes and their Commutativity Degree

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Authors

K. Moradipour
Department of Mathematical Sciences, Faculty of Science and Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
N. H. Sarmin
Department of Mathematical Sciences, Faculty of Science and Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
A. Erfanian
Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structure, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran, Islamic Republic of

Abstract


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

Keywords


Conjugacy Class, Commutativity Degree, Split Group

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i8%2F30533