{"title":"Aut(FN) 及其 Torelli 子群的共形","authors":"Martin R. Bridson, Richard D. Wade","doi":"10.1007/s00039-024-00681-y","DOIUrl":null,"url":null,"abstract":"<p>For <i>N</i>≥3, the abstract commensurators of both Aut(<i>F</i><sub><i>N</i></sub>) and its Torelli subgroup IA<sub><i>N</i></sub> are isomorphic to Aut(<i>F</i><sub><i>N</i></sub>) itself.</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Commensurations of Aut(FN) and Its Torelli Subgroup\",\"authors\":\"Martin R. Bridson, Richard D. Wade\",\"doi\":\"10.1007/s00039-024-00681-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>For <i>N</i>≥3, the abstract commensurators of both Aut(<i>F</i><sub><i>N</i></sub>) and its Torelli subgroup IA<sub><i>N</i></sub> are isomorphic to Aut(<i>F</i><sub><i>N</i></sub>) itself.</p>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00039-024-00681-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00039-024-00681-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
摘要
对于 N≥3,Aut(FN)及其 Torelli 子群 IAN 的抽象换元器都与 Aut(FN) 本身同构。