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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Datum: | 2018 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | English |
Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/794 |
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Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsZusammenfassung: | 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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