The self-dual indecomposable modules in blocks with cyclic defect groups

Caroline Lassueur, John Murray
{"title":"The self-dual indecomposable modules in blocks with cyclic defect groups","authors":"Caroline Lassueur, John Murray","doi":"arxiv-2409.05562","DOIUrl":null,"url":null,"abstract":"Let $p$ be an odd prime and let $\\mathbf{B}$ be a $p$-block of a finite\ngroup, such that $\\mathbf{B}$ has cyclic defect groups. We describe the\nself-dual indecomposable $\\mathbf{B}$-modules and for each such module\ndetermine whether it is symplectic or orthogonal.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05562","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Let $p$ be an odd prime and let $\mathbf{B}$ be a $p$-block of a finite group, such that $\mathbf{B}$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}$-modules and for each such module determine whether it is symplectic or orthogonal.
具有循环缺陷群的块中自双不可分解模块
让 $p$ 是奇素数,让 $\mathbf{B}$ 是有限群的 $p$ 块,使得 $\mathbf{B}$ 有循环缺陷群。我们描述了自双不可分解 $\mathbf{B}$ 模,并为每个这样的模确定了它是交映的还是正交的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信