Open AccessThe probability of an automorphism of an abelian group fixing a group element
Author(s) -
Harsha Arora
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-4513
Subject(s) - abelian group , automorphism , group (periodic table) , mathematics , element (criminal law) , computation , alternating group , discrete mathematics , pure mathematics , algebra over a field , physics , algorithm , political science , law , quantum mechanics
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.