{"title":"Direct Products of Free Groups in Aut(FN)","authors":"Martin R. Bridson, Richard D. Wade","doi":"10.1007/s00039-024-00688-5","DOIUrl":null,"url":null,"abstract":"<p>We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(<i>F</i><sub><i>N</i></sub>) and Out(<i>F</i><sub><i>N</i></sub>) when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed point of a particular type in the boundary of Outer space.</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-08-05","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/s00039-024-00688-5","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
Abstract
We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(FN) and Out(FN) when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed point of a particular type in the boundary of Outer space.
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