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

Abstract 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 finite abelian groups. The probability of an automorphism fixing a group element is obtained in terms of fusion classe...

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Autor principal:	Arora,Harsha
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Fusion classes Probability Automorphisms
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401001
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spelling	oai:scielo:S0716-091720210004010012021-08-12The probability of an automorphism of an abelian group fixing a group elementArora,Harsha Fusion classes Probability Automorphisms Abstract 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 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401001en10.22199/issn.0717-6279-4513
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fusion classes Probability Automorphisms
spellingShingle	Fusion classes Probability Automorphisms Arora,Harsha The probability of an automorphism of an abelian group fixing a group element
description	Abstract 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 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.
author	Arora,Harsha
author_facet	Arora,Harsha
author_sort	Arora,Harsha
title	The probability of an automorphism of an abelian group fixing a group element
title_short	The probability of an automorphism of an abelian group fixing a group element
title_full	The probability of an automorphism of an abelian group fixing a group element
title_fullStr	The probability of an automorphism of an abelian group fixing a group element
title_full_unstemmed	The probability of an automorphism of an abelian group fixing a group element
title_sort	probability of an automorphism of an abelian group fixing a group element
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401001
work_keys_str_mv	AT aroraharsha theprobabilityofanautomorphismofanabeliangroupfixingagroupelement AT aroraharsha probabilityofanautomorphismofanabeliangroupfixingagroupelement
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The probability of an automorphism of an abelian group fixing a group element

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