{"title":"具有循环缺陷群的块中自双不可分解模块","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":"{\"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}","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}
The self-dual indecomposable modules in blocks with cyclic defect groups
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
