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Is the right-angled building associated to a universal group unique?
Published 17 May 2022 in math.GR | (2205.08145v2)
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.
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