Rigidity of the group topology for closed Weyl transitive groups of automorphisms of a regular locally finite building

Rupert McCallum

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arXiv · 1402.2765

Rigidity of the group topology for closed Weyl transitive groups of automorphisms of a regular locally finite building

Rupert McCallum

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Abstract

We prove that if $G$ is a group of automorphisms of a regular locally finite building which is closed in the compact-open topology and acts Weyl transitively on the building, then $G$ admits just one Hausdorff locally compact $\sigma$-compact topology compatible with the group operations.

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Rupert McCallum. 2014-02-12. Rigidity of the group topology for closed Weyl transitive groups of automorphisms of a regular locally finite building. https://arxiv.org/abs/1402.2765

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