Finite groups with Quaternion Sylow subgroup

Mousavi, Hamid

doi:10.5802/crmath.131

Théorie des groupes

Finite groups with Quaternion Sylow subgroup

Mousavi, Hamid ¹

¹ Department of Mathematical Sciences, University of Tabriz, P.O.Box 51666-16471, Tabriz, Iran

Comptes Rendus. Mathématique, Tome 358 (2020) no. 9-10, pp. 1097-1099.

Résumé

In this paper we show that a finite group $G$ with Quaternion Sylow $2$ -subgroup is $2$ -nilpotent if, either $3 ∤ | G |$ or $G$ is solvable and the order of its Sylow $2$ -subgroup is strictly greater than $16$ .

Reçu le : 2020-10-07
Révisé le : 2020-10-11
Accepté le : 2020-10-13
Publié le : 2021-01-05

DOI : 10.5802/crmath.131

Classification : 20D99, 20E45

Affiliations des auteurs :

Mousavi, Hamid ¹

¹ Department of Mathematical Sciences, University of Tabriz, P.O.Box 51666-16471, Tabriz, Iran

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     title = {Finite groups with {Quaternion} {Sylow} subgroup},
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     pages = {1097--1099},
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     url = {http://www.numdam.org/articles/10.5802/crmath.131/}
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Mousavi, Hamid. Finite groups with Quaternion Sylow subgroup. Comptes Rendus. Mathématique, Tome 358 (2020) no. 9-10, pp. 1097-1099. doi : 10.5802/crmath.131. http://www.numdam.org/articles/10.5802/crmath.131/

Bibliographie
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