On subgroups which cover or avoid chief factors of a finite group
A classical topic of research in Finite Group Theory is the following:What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding property?The cover-avoidance property is a subgroup embedding property that has recovered...
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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543220567113728 |
|---|---|
| author | Ballester-Bolinches, A. Ezquerro, Luis M. Skiba, Alexander N. |
| author_facet | Ballester-Bolinches, A. Ezquerro, Luis M. Skiba, Alexander N. |
| author_sort | Ballester-Bolinches, A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:49:22Z |
| description | A classical topic of research in Finite Group Theory is the following:What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding property?The cover-avoidance property is a subgroup embedding property that has recovered much attention in the last few years. In this survey article we present a number of results showing that its influence goes much further from the classical upersolubility. |
| first_indexed | 2025-12-02T15:41:01Z |
| format | Article |
| id | admjournalluguniveduua-article-794 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:41:01Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7942018-04-04T08:49:22Z On subgroups which cover or avoid chief factors of a finite group Ballester-Bolinches, A. Ezquerro, Luis M. Skiba, Alexander N. Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation 20D10, 20D15, 20D20 A classical topic of research in Finite Group Theory is the following:What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding property?The cover-avoidance property is a subgroup embedding property that has recovered much attention in the last few years. In this survey article we present a number of results showing that its influence goes much further from the classical upersolubility. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794/324 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Finite group cover-avoidance property \(p\)-supersoluble groups saturated formation 20D10 20D15 20D20 Ballester-Bolinches, A. Ezquerro, Luis M. Skiba, Alexander N. On subgroups which cover or avoid chief factors of a finite group |
| title | On subgroups which cover or avoid chief factors of a finite group |
| title_full | On subgroups which cover or avoid chief factors of a finite group |
| title_fullStr | On subgroups which cover or avoid chief factors of a finite group |
| title_full_unstemmed | On subgroups which cover or avoid chief factors of a finite group |
| title_short | On subgroups which cover or avoid chief factors of a finite group |
| title_sort | on subgroups which cover or avoid chief factors of a finite group |
| topic | Finite group cover-avoidance property \(p\)-supersoluble groups saturated formation 20D10 20D15 20D20 |
| topic_facet | Finite group cover-avoidance property \(p\)-supersoluble groups saturated formation 20D10 20D15 20D20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794 |
| work_keys_str_mv | AT ballesterbolinchesa onsubgroupswhichcoveroravoidchieffactorsofafinitegroup AT ezquerroluism onsubgroupswhichcoveroravoidchieffactorsofafinitegroup AT skibaalexandern onsubgroupswhichcoveroravoidchieffactorsofafinitegroup |