{"title":"Out($F_r$) 火车轨道自动机 I:适当的全折分解","authors":"Catherine Eva Pfaff","doi":"arxiv-2409.05599","DOIUrl":null,"url":null,"abstract":"We describe train track automata for large classes of fully irreducible\nelements of Out($F_r$), and their associated geodesics in Culler-Vogtmann Outer\nSpace.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Out($F_r$) train track automata I: Proper full fold decompositions\",\"authors\":\"Catherine Eva Pfaff\",\"doi\":\"arxiv-2409.05599\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe train track automata for large classes of fully irreducible\\nelements of Out($F_r$), and their associated geodesics in Culler-Vogtmann Outer\\nSpace.\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.05599\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05599","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Out($F_r$) train track automata I: Proper full fold decompositions
We describe train track automata for large classes of fully irreducible
elements of Out($F_r$), and their associated geodesics in Culler-Vogtmann Outer
Space.