Reversibility and transitivity of semigroup actions on homogeneous spaces

This paper studies reversibility and transitivity of semigroups acting on homogeneous spaces. Properties of the reversor set of a subsemigroup acting on homogeneous spaces are presented. Let G be a topological group and L a subgroup of G. Assume that S is a subsemigroup of G with nonempty interior....

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Detalles Bibliográficos
Autores: Reis, Ronan A. [UNESP], San Martin, Luiz A. B., Rocha, Victor H. L. [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/302953
Acceso en línea:http://dx.doi.org/10.4153/S0008414X24001044
https://hdl.handle.net/11449/302953
Access Level:acceso abierto
Palabra clave:20M20
22F30
54H15
AMS subject classification
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spelling Reversibility and transitivity of semigroup actions on homogeneous spaces20M2022F3054H15AMS subject classificationThis paper studies reversibility and transitivity of semigroups acting on homogeneous spaces. Properties of the reversor set of a subsemigroup acting on homogeneous spaces are presented. Let G be a topological group and L a subgroup of G. Assume that S is a subsemigroup of G with nonempty interior. It is presented a study of the reversibility of the S-Action on <![CDATA[ $G/L$ ]]> in terms of the actions of S and L on homogeneous spaces of G. The results relate the reversibility and the transitivity of S in <![CDATA[ $G/L$ ]]> with the minimality of the action of L on homogeneous spaces of G. In addition, sufficient conditions for S to be right reversible in G if S is reversible in <![CDATA[ $G/L$ ]]> are presented.Departamento de Matemática e Computação Universidade Estadual Paulista R. Roberto Simonsen 305 19060900 E-mailInstituto de Matemática Universidade Estadual de Campinas Estatística e Computação Científica, Cx. Postal 6065Departamento de Matemática e Computação Universidade Estadual Paulista R. Roberto Simonsen 305 19060900 E-mailUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)2025-04-29T19:28:15Z2025-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.4153/S0008414X24001044Canadian Journal of Mathematics.0008-414Xhttps://hdl.handle.net/11449/30295310.4153/S0008414X240010442-s2.0-85219151068Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCanadian Journal of Mathematicsinfo:eu-repo/semantics/openAccessReis, Ronan A. [UNESP]San Martin, Luiz A. B.Rocha, Victor H. L. [UNESP]2025-10-22T17:20:01Zoai:repositorio.unesp.br:11449/302953Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-10-22T17:20:01Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Reversibility and transitivity of semigroup actions on homogeneous spaces
title Reversibility and transitivity of semigroup actions on homogeneous spaces
spellingShingle Reversibility and transitivity of semigroup actions on homogeneous spaces
Reis, Ronan A. [UNESP]
20M20
22F30
54H15
AMS subject classification
title_short Reversibility and transitivity of semigroup actions on homogeneous spaces
title_full Reversibility and transitivity of semigroup actions on homogeneous spaces
title_fullStr Reversibility and transitivity of semigroup actions on homogeneous spaces
title_full_unstemmed Reversibility and transitivity of semigroup actions on homogeneous spaces
title_sort Reversibility and transitivity of semigroup actions on homogeneous spaces
dc.creator.none.fl_str_mv Reis, Ronan A. [UNESP]
San Martin, Luiz A. B.
Rocha, Victor H. L. [UNESP]
author Reis, Ronan A. [UNESP]
author_facet Reis, Ronan A. [UNESP]
San Martin, Luiz A. B.
Rocha, Victor H. L. [UNESP]
author_role author
author2 San Martin, Luiz A. B.
Rocha, Victor H. L. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)
dc.subject.por.fl_str_mv 20M20
22F30
54H15
AMS subject classification
topic 20M20
22F30
54H15
AMS subject classification
description This paper studies reversibility and transitivity of semigroups acting on homogeneous spaces. Properties of the reversor set of a subsemigroup acting on homogeneous spaces are presented. Let G be a topological group and L a subgroup of G. Assume that S is a subsemigroup of G with nonempty interior. It is presented a study of the reversibility of the S-Action on <![CDATA[ $G/L$ ]]> in terms of the actions of S and L on homogeneous spaces of G. The results relate the reversibility and the transitivity of S in <![CDATA[ $G/L$ ]]> with the minimality of the action of L on homogeneous spaces of G. In addition, sufficient conditions for S to be right reversible in G if S is reversible in <![CDATA[ $G/L$ ]]> are presented.
publishDate 2025
dc.date.none.fl_str_mv 2025-04-29T19:28:15Z
2025-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.4153/S0008414X24001044
Canadian Journal of Mathematics.
0008-414X
https://hdl.handle.net/11449/302953
10.4153/S0008414X24001044
2-s2.0-85219151068
url http://dx.doi.org/10.4153/S0008414X24001044
https://hdl.handle.net/11449/302953
identifier_str_mv Canadian Journal of Mathematics.
0008-414X
10.4153/S0008414X24001044
2-s2.0-85219151068
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Canadian Journal of Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
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score 15.300719

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