Is the right-angled building associated to a universal group unique?

DOI10.1007/S00013-022-01823-0arXiv2205.08145MaRDI QIDQ6399335

Publication date: 17 May 2022

Abstract: A universal group is a subgroup of the group of type preserving automorphisms of a right-angled building and hence associated to this building. A question is then if this universal group can act chamber-transitively and with compact open stabilisers on a different right-angled building of the same type. We answer this question and define two universal groups associated to different right-angled buildings which are isomorphic as topological groups.

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups as automorphisms of other structures (22F50)

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