Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties
In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2018-06-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://ijgt.ui.ac.ir/article_21214_cc340e8f12a5cd3c8681717909e787b8.pdf |
| _version_ | 1819047053896974336 |
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| author | Ramon Esteban-Romero Giovanni Vincenzi |
| author_facet | Ramon Esteban-Romero Giovanni Vincenzi |
| author_sort | Ramon Esteban-Romero |
| collection | DOAJ |
| description | In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties. |
| first_indexed | 2024-12-21T10:54:15Z |
| format | Article |
| id | doaj.art-1a1f8e37a6fa4c1b80104ef2305196da |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-12-21T10:54:15Z |
| publishDate | 2018-06-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-1a1f8e37a6fa4c1b80104ef2305196da2022-12-21T19:06:33ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692018-06-017291610.22108/ijgt.2017.2121421214Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding propertiesRamon Esteban-Romero0Giovanni Vincenzi1Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, SpainUniversity of salernoIn this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties.http://ijgt.ui.ac.ir/article_21214_cc340e8f12a5cd3c8681717909e787b8.pdfgroupsubgroup embedding propertyT-groupFC$^*$-groupgroup without infinite simple sections |
| spellingShingle | Ramon Esteban-Romero Giovanni Vincenzi Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties International Journal of Group Theory group subgroup embedding property T-group FC$^*$-group group without infinite simple sections |
| title | Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| title_full | Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| title_fullStr | Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| title_full_unstemmed | Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| title_short | Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| title_sort | some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties |
| topic | group subgroup embedding property T-group FC$^*$-group group without infinite simple sections |
| url | http://ijgt.ui.ac.ir/article_21214_cc340e8f12a5cd3c8681717909e787b8.pdf |
| work_keys_str_mv | AT ramonestebanromero somecharacterisationsofgroupsinwhichnormalityisatransitiverelationbymeansofsubgroupembeddingproperties AT giovannivincenzi somecharacterisationsofgroupsinwhichnormalityisatransitiverelationbymeansofsubgroupembeddingproperties |