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arXiv · 2205.08145

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

Lara Beßmann
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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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Lara Beßmann. 2022-05-17. Is the right-angled building associated to a universal group unique?. https://arxiv.org/abs/2205.08145

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