Groups as the union of fusion classes


Abstract


Fusion class of a group consists of all the elements which are related by the fusion relation, that is; the elements which are conjugate in their automorphism group. In this paper we study the structure of groups in which union of fusion classes with identity element 1 becomes a subgroup.

DOI Code: 10.1285/i15900932v35n1p57

Keywords: Fusion class, Automorphism, Characteristic subgroup

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