四元数Sylow子群有限群

Pub Date : 2021-01-05 DOI:10.5802/crmath.131

Hamid Mousavi

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引用次数: 2

摘要

本文证明了具有四元数Sylow 2-子群的有限群G是2幂零的，如果3 |G|或G是可解的，并且它的Sylow 2-子群的阶严格大于16。数学学科分类(2010)。20 d99 20 e45。稿于2020年10月7日收到，2020年10月11日和2020年10月13日修订，2020年10月13日接受。

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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 |G| or G is solvable and the order of its Sylow 2-subgroup is strictly greater than 16. Mathematical subject classification (2010). 20D99, 20E45. Manuscript received 7th October 2020, revised 11th October 2020 and 13th October 2020, accepted 13th October 2020.

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