李型单群的内对角自同构的阶

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2022-07-27 DOI:10.1515/jgth-2021-0192

A. Buturlakin, M. A. Grechkoseeva

{"title":"李型单群的内对角自同构的阶","authors":"A. Buturlakin, M. A. Grechkoseeva","doi":"10.1515/jgth-2021-0192","DOIUrl":null,"url":null,"abstract":"Abstract We refer to the set of element orders of a finite group 𝐺 as the spectrum of 𝐺. For the simple groups PSL n ⁢ ( q ) \\mathrm{PSL}_{n}(q) , PSU n ⁢ ( q ) \\mathrm{PSU}_{n}(q) , E 6 ⁢ ( q ) E_{6}(q) , and E 6 2 ⁢ ( q ) {}^{2}E_{6}(q) , we describe the spectra of extensions of these groups by diagonal automorphisms.","PeriodicalId":50188,"journal":{"name":"Journal of Group Theory","volume":"22 1","pages":"135 - 160"},"PeriodicalIF":0.4000,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Orders of inner-diagonal automorphisms of some simple groups of Lie type\",\"authors\":\"A. Buturlakin, M. A. Grechkoseeva\",\"doi\":\"10.1515/jgth-2021-0192\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We refer to the set of element orders of a finite group 𝐺 as the spectrum of 𝐺. For the simple groups PSL n ⁢ ( q ) \\\\mathrm{PSL}_{n}(q) , PSU n ⁢ ( q ) \\\\mathrm{PSU}_{n}(q) , E 6 ⁢ ( q ) E_{6}(q) , and E 6 2 ⁢ ( q ) {}^{2}E_{6}(q) , we describe the spectra of extensions of these groups by diagonal automorphisms.\",\"PeriodicalId\":50188,\"journal\":{\"name\":\"Journal of Group Theory\",\"volume\":\"22 1\",\"pages\":\"135 - 160\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Group Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/jgth-2021-0192\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Group Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/jgth-2021-0192","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

摘要:我们把有限群𝐺的元素阶的集合称为𝐺的谱。对于简单群PSL n n (q) \ mathm {PSL}_{n}(q)， PSU n n (q) \ mathm {PSU}_{n}(q)， e6 (q)， e6 2 (q) {}^{2}E_{6}(q)，我们用对角自同构描述了这些群的扩展谱。

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

Orders of inner-diagonal automorphisms of some simple groups of Lie type

Abstract We refer to the set of element orders of a finite group 𝐺 as the spectrum of 𝐺. For the simple groups PSL n ⁢ ( q ) \mathrm{PSL}_{n}(q) , PSU n ⁢ ( q ) \mathrm{PSU}_{n}(q) , E 6 ⁢ ( q ) E_{6}(q) , and E 6 2 ⁢ ( q ) {}^{2}E_{6}(q) , we describe the spectra of extensions of these groups by diagonal automorphisms.

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

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory