{"title":"紧凑 3-manifolds基本群无限完形的原可溶子群","authors":"Lucas C. Lopes, Pavel A. Zalesskii","doi":"arxiv-2408.04152","DOIUrl":null,"url":null,"abstract":"We give a description of finitely generated prosoluble subgroups of the\nprofinite completion of $3$-manifold groups and virtually compact special\ngroups.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"193 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prosoluble subgroups of the profinite completion of the fundamental group of compact 3-manifolds\",\"authors\":\"Lucas C. Lopes, Pavel A. Zalesskii\",\"doi\":\"arxiv-2408.04152\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a description of finitely generated prosoluble subgroups of the\\nprofinite completion of $3$-manifold groups and virtually compact special\\ngroups.\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":\"193 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-08\",\"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-2408.04152\",\"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-2408.04152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Prosoluble subgroups of the profinite completion of the fundamental group of compact 3-manifolds
We give a description of finitely generated prosoluble subgroups of the
profinite completion of $3$-manifold groups and virtually compact special
groups.