有限简单群的同度同构问题

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2024-07-11 DOI:10.1093/qmath/haae039

Nguyen N Hung, Alexander Moretó

{"title":"有限简单群的同度同构问题","authors":"Nguyen N Hung, Alexander Moretó","doi":"10.1093/qmath/haae039","DOIUrl":null,"url":null,"abstract":"We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin–Tits’ simple order theorem.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":"2011 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The codegree isomorphism problem for finite simple groups\",\"authors\":\"Nguyen N Hung, Alexander Moretó\",\"doi\":\"10.1093/qmath/haae039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin–Tits’ simple order theorem.\",\"PeriodicalId\":54522,\"journal\":{\"name\":\"Quarterly Journal of Mathematics\",\"volume\":\"2011 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1093/qmath/haae039\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/qmath/haae039","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们研究了有限简单群的码度同构问题。特别是，我们证明了这样一个群是由其不可还原字符的编码度（计算多重性）决定的。证明对所有简单群都是统一的，只取决于通过阿尔丁-蒂茨的简单阶定理进行的分类。

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

The codegree isomorphism problem for finite simple groups

We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin–Tits’ simple order theorem.

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

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.