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: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation 20D10 20D15 20D20 |
| 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 |
| topic_facet |
Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation 20D10 20D15 20D20 |
| format |
Article |
| 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. |
| title |
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_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_sort |
on subgroups which cover or avoid chief factors of a finite group |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| 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 |
| first_indexed |
2024-04-12T06:26:37Z |
| last_indexed |
2024-04-12T06:26:37Z |
| _version_ |
1796109223013122048 |