{"title":"Free Proalgebraic Groups","authors":"M. Wibmer","doi":"10.46298/epiga.2020.volume4.5733","DOIUrl":null,"url":null,"abstract":"Replacing finite groups by linear algebraic groups, we study an\nalgebraic-geometric counterpart of the theory of free profinite groups. In\nparticular, we introduce free proalgebraic groups and characterize them in\nterms of embedding problems. The main motivation for this endeavor is a\ndifferential analog of a conjecture of Shafarevic.\n\n Comment: 36 pages, final accepted version","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2020.volume4.5733","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
Replacing finite groups by linear algebraic groups, we study an
algebraic-geometric counterpart of the theory of free profinite groups. In
particular, we introduce free proalgebraic groups and characterize them in
terms of embedding problems. The main motivation for this endeavor is a
differential analog of a conjecture of Shafarevic.
Comment: 36 pages, final accepted version
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