Some bounds for relative autocommutativity degree

Abstract: We consider the probability that a randomly chosen element of a subgroup of a finite group G is fixed by an automorphism of G. We obtain several bounds for this probability and characterize some finite groups with respect to this probability.

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Autores principales: Dutta,Parama, Nath,Rajat Kanti
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300679
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spelling oai:scielo:S0716-091720200003006792020-06-17Some bounds for relative autocommutativity degreeDutta,ParamaNath,Rajat Kanti Autocommutativity degree Automorphism group Autoisoclinism Abstract: We consider the probability that a randomly chosen element of a subgroup of a finite group G is fixed by an automorphism of G. We obtain several bounds for this probability and characterize some finite groups with respect to this probability.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.3 20202020-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300679en10.22199/issn.0717-6279-2020-03-0042
institution Scielo Chile
collection Scielo Chile
language English
topic Autocommutativity degree
Automorphism group
Autoisoclinism
spellingShingle Autocommutativity degree
Automorphism group
Autoisoclinism
Dutta,Parama
Nath,Rajat Kanti
Some bounds for relative autocommutativity degree
description Abstract: We consider the probability that a randomly chosen element of a subgroup of a finite group G is fixed by an automorphism of G. We obtain several bounds for this probability and characterize some finite groups with respect to this probability.
author Dutta,Parama
Nath,Rajat Kanti
author_facet Dutta,Parama
Nath,Rajat Kanti
author_sort Dutta,Parama
title Some bounds for relative autocommutativity degree
title_short Some bounds for relative autocommutativity degree
title_full Some bounds for relative autocommutativity degree
title_fullStr Some bounds for relative autocommutativity degree
title_full_unstemmed Some bounds for relative autocommutativity degree
title_sort some bounds for relative autocommutativity degree
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300679
work_keys_str_mv AT duttaparama someboundsforrelativeautocommutativitydegree
AT nathrajatkanti someboundsforrelativeautocommutativitydegree
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