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International Journal of Physics and Mathematics

Vol. 4, Issue 1, Part A (2022)

Fusion classes of Non-Abelian Metabelian groups of order upto  

Author(s):

Muniya and Harsha Arora

Abstract:

In this paper G be the non-abelian metabelian group and denotes the fusion class of element a in G. Fusion class is an equivalence relation. A group is metabelian group if its commutator group is abelian or if it has an abelian normal subgroup in which the factor group is also abelian. There are 35 non-Abelian metabelian groups of order less than or equal to 24. In this paper, we investigate the fusion classes of all non-abelian metabelian groups of order less than or equal to 24 and the verification has been made through GAP(Groups Algorithm Programming) software.

Pages: 61-75  |  228 Views  72 Downloads


International Journal of Physics and Mathematics
How to cite this article:
Muniya and Harsha Arora. Fusion classes of Non-Abelian Metabelian groups of order upto  . Int. J. Phys. Math. 2022;4(1):61-75. DOI: 10.33545/26648636.2022.v4.i1a.59