{"title":"Fat minors in finitely presented groups","authors":"Joseph MacManus","doi":"arxiv-2408.10748","DOIUrl":null,"url":null,"abstract":"We show that a finitely presented group virtually admits a planar Cayley\ngraph if and only if it is asymptotically minor-excluded, partially answering a\nconjecture of Georgakopoulos and Papasoglu in the affirmative.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.10748","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 show that a finitely presented group virtually admits a planar Cayley
graph if and only if it is asymptotically minor-excluded, partially answering a
conjecture of Georgakopoulos and Papasoglu in the affirmative.