English

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

Group Theory 2022-06-02 v2

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.

Keywords

Cite

@article{arxiv.2205.08145,
  title  = {Is the right-angled building associated to a universal group unique?},
  author = {Lara Beßmann},
  journal= {arXiv preprint arXiv:2205.08145},
  year   = {2022}
}

Comments

8 Pages, 2 Figures, Corrected Typos

R2 v1 2026-06-24T11:19:30.616Z