Some local properties defining To-groups and related classes of groups

We call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups an...

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Autores: Ballester-Bolinches, Adolfo|||0000-0002-2051-9075, Beidleman, James C., Esteban-Romero, Ramon|||0000-0002-2321-8139, Ragland, Matthew F.
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:144969
Acceso en línea:https://ddd.uab.cat/record/144969
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60116_10
Access Level:acceso abierto
Palabra clave:Subnormal subgroup
T -group
Pst -group
Finite solvable group
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spelling Some local properties defining To-groups and related classes of groupsBallester-Bolinches, Adolfo|||0000-0002-2051-9075Beidleman, James C.Esteban-Romero, Ramon|||0000-0002-2321-8139Ragland, Matthew F.Subnormal subgroupT -groupPst -groupFinite solvable groupWe call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups and T0-groups where X ∈ {T , PT , PST }; the classes PT and PST denote, respectively, the classes of groups in which permutability and S-permutability are transitive relations. 2010 Mathematics Subject Classification: Primary: 20D10, 20D20, 20D35. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/144969https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60116_10reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1449692026-06-06T12:50:31Z
dc.title.none.fl_str_mv Some local properties defining To-groups and related classes of groups
title Some local properties defining To-groups and related classes of groups
spellingShingle Some local properties defining To-groups and related classes of groups
Ballester-Bolinches, Adolfo|||0000-0002-2051-9075
Subnormal subgroup
T -group
Pst -group
Finite solvable group
title_short Some local properties defining To-groups and related classes of groups
title_full Some local properties defining To-groups and related classes of groups
title_fullStr Some local properties defining To-groups and related classes of groups
title_full_unstemmed Some local properties defining To-groups and related classes of groups
title_sort Some local properties defining To-groups and related classes of groups
dc.creator.none.fl_str_mv Ballester-Bolinches, Adolfo|||0000-0002-2051-9075
Beidleman, James C.
Esteban-Romero, Ramon|||0000-0002-2321-8139
Ragland, Matthew F.
author Ballester-Bolinches, Adolfo|||0000-0002-2051-9075
author_facet Ballester-Bolinches, Adolfo|||0000-0002-2051-9075
Beidleman, James C.
Esteban-Romero, Ramon|||0000-0002-2321-8139
Ragland, Matthew F.
author_role author
author2 Beidleman, James C.
Esteban-Romero, Ramon|||0000-0002-2321-8139
Ragland, Matthew F.
author2_role author
author
author
dc.subject.none.fl_str_mv Subnormal subgroup
T -group
Pst -group
Finite solvable group
topic Subnormal subgroup
T -group
Pst -group
Finite solvable group
description We call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups and T0-groups where X ∈ {T , PT , PST }; the classes PT and PST denote, respectively, the classes of groups in which permutability and S-permutability are transitive relations. 2010 Mathematics Subject Classification: Primary: 20D10, 20D20, 20D35.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/144969
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60116_10
url https://ddd.uab.cat/record/144969
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60116_10
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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