On twisted conjugacy classes of type D in sporadic simple groups

Autores
Fantino, Fernando Amado; Vendramin, Claudio Leandro
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We determine twisted conjugacy classes of type D associated with the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian coradical. As a by-product we prove that every complex finite-dimensional pointed Hopf algebra over the group of automorphisms of M12, J2, Suz, He, HN, T is the group algebra. In the appendix we improve the study of conjugacy classes of type D of sporadic simple groups.
Fil: Fantino, Fernando Amado. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
Fil: Vendramin, Claudio Leandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
Materia
Pointed Hopf Algebras
Nichols Algebras
Racks
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10808
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/10808
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On twisted conjugacy classes of type D in sporadic simple groupsFantino, Fernando AmadoVendramin, Claudio LeandroPointed Hopf AlgebrasNichols AlgebrasRackshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We determine twisted conjugacy classes of type D associated with the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian coradical. As a by-product we prove that every complex finite-dimensional pointed Hopf algebra over the group of automorphisms of M12, J2, Suz, He, HN, T is the group algebra. In the appendix we improve the study of conjugacy classes of type D of sporadic simple groups.Fil: Fantino, Fernando Amado. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); ArgentinaFil: Vendramin, Claudio Leandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); ArgentinaAmerican Mathematical Society2013-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10808Fantino, Fernando Amado; Vendramin, Claudio Leandro; On twisted conjugacy classes of type D in sporadic simple groups; American Mathematical Society; Contemporary Mathematics; 585; 2-2013; 247-2590271-4132enginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:38:48Zoai:ri.conicet.gov.ar:11336/10808instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:38:48.626CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On twisted conjugacy classes of type D in sporadic simple groups
title On twisted conjugacy classes of type D in sporadic simple groups
spellingShingle On twisted conjugacy classes of type D in sporadic simple groups
Fantino, Fernando Amado
Pointed Hopf Algebras
Nichols Algebras
Racks
title_short On twisted conjugacy classes of type D in sporadic simple groups
title_full On twisted conjugacy classes of type D in sporadic simple groups
title_fullStr On twisted conjugacy classes of type D in sporadic simple groups
title_full_unstemmed On twisted conjugacy classes of type D in sporadic simple groups
title_sort On twisted conjugacy classes of type D in sporadic simple groups
dc.creator.none.fl_str_mv Fantino, Fernando Amado
Vendramin, Claudio Leandro
author Fantino, Fernando Amado
author_facet Fantino, Fernando Amado
Vendramin, Claudio Leandro
author_role author
author2 Vendramin, Claudio Leandro
author2_role author
dc.subject.none.fl_str_mv Pointed Hopf Algebras
Nichols Algebras
Racks
topic Pointed Hopf Algebras
Nichols Algebras
Racks
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We determine twisted conjugacy classes of type D associated with the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian coradical. As a by-product we prove that every complex finite-dimensional pointed Hopf algebra over the group of automorphisms of M12, J2, Suz, He, HN, T is the group algebra. In the appendix we improve the study of conjugacy classes of type D of sporadic simple groups.
Fil: Fantino, Fernando Amado. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
Fil: Vendramin, Claudio Leandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
description We determine twisted conjugacy classes of type D associated with the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian coradical. As a by-product we prove that every complex finite-dimensional pointed Hopf algebra over the group of automorphisms of M12, J2, Suz, He, HN, T is the group algebra. In the appendix we improve the study of conjugacy classes of type D of sporadic simple groups.
publishDate 2013
dc.date.none.fl_str_mv 2013-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/10808
Fantino, Fernando Amado; Vendramin, Claudio Leandro; On twisted conjugacy classes of type D in sporadic simple groups; American Mathematical Society; Contemporary Mathematics; 585; 2-2013; 247-259
0271-4132
url http://hdl.handle.net/11336/10808
identifier_str_mv Fantino, Fernando Amado; Vendramin, Claudio Leandro; On twisted conjugacy classes of type D in sporadic simple groups; American Mathematical Society; Contemporary Mathematics; 585; 2-2013; 247-259
0271-4132
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846083505809784832
score 13.22299

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