no. 9-10
Théorie des groupes
Finite groups with Quaternion Sylow subgroup
Mousavi, Hamid1
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

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.

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Révisé le :
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DOI : 10.5802/crmath.131
Classification : 20D99, 20E45

Mousavi, Hamid 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 
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     author = {Mousavi, Hamid},
     title = {Finite groups with {Quaternion} {Sylow} subgroup},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1097--1099},
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     volume = {358},
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     url = {https://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

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