{"title":"Virtual Lie subgroups of locally compact groups","authors":"Antoni Machowski","doi":"arxiv-2407.01253","DOIUrl":null,"url":null,"abstract":"We examine subgroups of locally compact groups that are continuous\nhomomorphic images of connected Lie groups and we give a criterion for being\nsuch an image. We also provide a new characterisation of Lie groups and a\ncharacterisation of groups that are images of connected locally compact groups.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.01253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We examine subgroups of locally compact groups that are continuous
homomorphic images of connected Lie groups and we give a criterion for being
such an image. We also provide a new characterisation of Lie groups and a
characterisation of groups that are images of connected locally compact groups.
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