Finite groups with Quaternion Sylow subgroup
In this paper we show that a finite group $G$ with Quaternion Sylow $2$-subgroup is $2$-nilpotent if, either $3\nmid |G|$ or $G$ is solvable and the order of its Sylow $2$-subgroup is strictly greater than $16$.
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| Veröffentlicht in: | Comptes rendus. Mathématique 2021, Vol.358 (9-10), p.1097-1099 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper we show that a finite group $G$ with Quaternion Sylow $2$-subgroup is $2$-nilpotent if, either $3\nmid |G|$ or $G$ is solvable and the order of its Sylow $2$-subgroup is strictly greater than $16$. |
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| ISSN: | 1778-3569 1778-3569 |
| DOI: | 10.5802/crmath.131 |