{"title":"Isometries of wall-connected twin buildings","authors":"Sebastian Bischof, B. Mühlherr","doi":"10.1515/advgeom-2023-0013","DOIUrl":null,"url":null,"abstract":"Abstract We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affine twin buildings of rank at least 3.","PeriodicalId":7335,"journal":{"name":"Advances in Geometry","volume":"0 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/advgeom-2023-0013","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affine twin buildings of rank at least 3.
Mark Walterfang, Maria A Di Biase, Vanessa L Cropley, Andrew M Scott, Graeme O'Keefe, Dennis Velakoulis, Kunthi Pathmaraj, Uwe Ackermann, Christos Pantelis
Tatiana Bremova-Ertl, Larry Abel, Mark Walterfang, Ettore Salsano, Anna Ardissone, Věra Malinová, Miriam Kolníková, Jordi Gascón Bayarri, Ali Reza Tavasoli, Mahmoud Reza Ashrafi, Yasmina Amraoui, Eugen Mengel, Stefan A. Kolb, Andreas Brecht, Stanislavs Bardins, Michael Strupp
期刊介绍：
Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.
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