Groups as the union of fusion classes

Authors

  • Harsha Arora
  • Ram Karan

DOI:

https://doi.org/10.1285/i15900932v35n1p57

Keywords:

Fusion class, Automorphism, Characteristic subgroup

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.

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