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 subgro...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2009 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154564 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On subgroups which cover or avoid chief factors of a finite group / A. Ballester-Bolinches, L.M. Ezquerro, A.N. Skiba // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 18–28. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639117327663104 |
|---|---|
| author | Ballester-Bolinches, A. Ezquerro, L.M. Skiba, A.N. |
| author_facet | Ballester-Bolinches, A. Ezquerro, L.M. Skiba, A.N. |
| citation_txt | On subgroups which cover or avoid chief factors of a finite group / A. Ballester-Bolinches, L.M. Ezquerro, A.N. Skiba // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 18–28. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-01T00:30:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154564 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T00:30:47Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ballester-Bolinches, A. Ezquerro, L.M. Skiba, A.N. 2019-06-15T16:33:06Z 2019-06-15T16:33:06Z 2009 On subgroups which cover or avoid chief factors of a finite group / A. Ballester-Bolinches, L.M. Ezquerro, A.N. Skiba // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 18–28. — Бібліогр.: 28 назв. — англ. 1726-3255 000 Mathematics Subject Classification:20D10, 20D15, 20D20. https://nasplib.isofts.kiev.ua/handle/123456789/154564 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. The research of the first author is supported byProyecto MTM2007-68010-C03-02,Ministerio de Educaci ́on y Ciencia de Espa ̃na. The research of the second author issupported byProyecto MTM2007-68010-C03-01, Ministerio de Educaci ́on y Ciencia deEspa ̃na en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On subgroups which cover or avoid chief factors of a finite group Article published earlier |
| spellingShingle | On subgroups which cover or avoid chief factors of a finite group Ballester-Bolinches, A. Ezquerro, L.M. Skiba, A.N. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154564 |
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