Finite groups with some CAP-subgroups
A subgroup $A$ of a group $G$ is said to be a CAP-subgroup of $G$ if for any chief factor $H/K$ of $G$, there holds $H\cap A = K\cap A$ or $HA = KA$. We investigate the influence of CAP-subgroups on the structure of finite groups. Some recent results are generalized.
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| Veröffentlicht in: | Rendiconti - Seminario matematico della Università di Padova 2014-01, Vol.131, p.77-87 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A subgroup $A$ of a group $G$ is said to be a CAP-subgroup of $G$ if for any chief factor $H/K$ of $G$, there holds $H\cap A = K\cap A$ or $HA = KA$. We investigate the influence of CAP-subgroups on the structure of finite groups. Some recent results are generalized. |
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| ISSN: | 0041-8994 2240-2926 |
| DOI: | 10.4171/RSMUP/131-6 |