Finite groups with Quaternion Sylow subgroup

Hamid Mousavi

doi:10.5802/crmath.131

Théorie des groupes

Finite groups with Quaternion Sylow subgroup

Hamid Mousavi ¹

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

Comptes Rendus. Mathématique, Volume 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 :

Hamid Mousavi ¹

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

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

@article{CRMATH_2020__358_9-10_1097_0,
     author = {Hamid Mousavi},
     title = {Finite groups with {Quaternion} {Sylow} subgroup},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1097--1099},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {9-10},
     year = {2020},
     doi = {10.5802/crmath.131},
     language = {en},
}

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Hamid Mousavi. Finite groups with Quaternion Sylow subgroup. Comptes Rendus. Mathématique, Volume 358 (2020) no. 9-10, pp. 1097-1099. doi : 10.5802/crmath.131. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.131/

Bibliographie
Cité par

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