The probability of an automorphism of an abelian group fixing a group element

• Arora, Harsha ^[1]
  1. [1] Government College Hansi.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 4, 2021, págs. 1001-1010
• Idioma: inglés
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• Resumen

  • In this paper, we consider the probability of an automorphism of a finite abelian group fixing a group element. Explicit computations are made to find the fusion classes of a finite abelian groups. The probability of an automorphism fixing a group element is obtained in terms of fusion classes. We also compute the bounds of the probability for some particular cases.