{"title":"关于p块中字符数的BRAUER猜想的约简定理","authors":"P. Gres","doi":"10.1070/SM1992V071N01ABEH001397","DOIUrl":null,"url":null,"abstract":"Theorems are proved that reduce the proof of the Brauer conjecture for finite groups G with a p-soluble centralizer of a p-element to the evaluation of the minimum of a suitable positive definite quadratic form, whose matrix is given in terms of the Cartan matrix of a p-block of a group of simpler structure than G.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REDUCTION THEOREMS FOR THE BRAUER CONJECTURE ON THE NUMBER OF CHARACTERS IN A p-BLOCK\",\"authors\":\"P. Gres\",\"doi\":\"10.1070/SM1992V071N01ABEH001397\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Theorems are proved that reduce the proof of the Brauer conjecture for finite groups G with a p-soluble centralizer of a p-element to the evaluation of the minimum of a suitable positive definite quadratic form, whose matrix is given in terms of the Cartan matrix of a p-block of a group of simpler structure than G.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V071N01ABEH001397\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V071N01ABEH001397","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
REDUCTION THEOREMS FOR THE BRAUER CONJECTURE ON THE NUMBER OF CHARACTERS IN A p-BLOCK
Theorems are proved that reduce the proof of the Brauer conjecture for finite groups G with a p-soluble centralizer of a p-element to the evaluation of the minimum of a suitable positive definite quadratic form, whose matrix is given in terms of the Cartan matrix of a p-block of a group of simpler structure than G.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
