Robert M. Guralnick, Michael Larsen, Pham Huu Tiep
{"title":"有限经典群的字符层次和字符边界","authors":"Robert M. Guralnick, Michael Larsen, Pham Huu Tiep","doi":"10.1007/s00222-023-01221-5","DOIUrl":null,"url":null,"abstract":"Abstract The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to $|G|$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>|</mml:mo> <mml:mi>G</mml:mi> <mml:mo>|</mml:mo> </mml:math> in a logarithmic sense.","PeriodicalId":14429,"journal":{"name":"Inventiones mathematicae","volume":"100 1","pages":"0"},"PeriodicalIF":2.6000,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Character levels and character bounds for finite classical groups\",\"authors\":\"Robert M. Guralnick, Michael Larsen, Pham Huu Tiep\",\"doi\":\"10.1007/s00222-023-01221-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to $|G|$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mo>|</mml:mo> <mml:mi>G</mml:mi> <mml:mo>|</mml:mo> </mml:math> in a logarithmic sense.\",\"PeriodicalId\":14429,\"journal\":{\"name\":\"Inventiones mathematicae\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2023-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Inventiones mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00222-023-01221-5\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Inventiones mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00222-023-01221-5","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Character levels and character bounds for finite classical groups
Abstract The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to $|G|$ |G| in a logarithmic sense.
期刊介绍:
This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).