{"title":"On induced modules of inertial-invariant support τ-tilting modules over blocks of finite groups","authors":"Ryotaro Koshio","doi":"10.55937/sut/1670501315","DOIUrl":null,"url":null,"abstract":"In this article, we prove that induced modules of support τ -tilting modules over blocks of finite groups satisfying inertial-invariant condition are also support τ -tilting modules.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1670501315","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
In this article, we prove that induced modules of support τ -tilting modules over blocks of finite groups satisfying inertial-invariant condition are also support τ -tilting modules.