四元数Sylow子群有限群

IF 0.8 4区数学 Q2 MATHEMATICS

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

Hamid Mousavi

{"title":"四元数Sylow子群有限群","authors":"Hamid Mousavi","doi":"10.5802/crmath.131","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":10620,"journal":{"name":"Comptes Rendus Mathematique","volume":"45 1","pages":"1097-1099"},"PeriodicalIF":0.8000,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Finite groups with Quaternion Sylow subgroup\",\"authors\":\"Hamid Mousavi\",\"doi\":\"10.5802/crmath.131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":10620,\"journal\":{\"name\":\"Comptes Rendus Mathematique\",\"volume\":\"45 1\",\"pages\":\"1097-1099\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2021-01-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus Mathematique\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/crmath.131\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mathematique","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/crmath.131","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.