English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $(W,S)$ be a Coxeter system with Davis complex $\Sigma$. The polyhedralautomorphism group $G$ of $\Sigma$ is a locally compact group under thecompact-open topology. If $G$ is a discrete group (as characterised byHaglund--Paulin), then the set $\mathcal V_u(G)$ of uniform lattices in $G$ isdiscrete. Whether the converse is true remains an open problem. Under certainassumptions on $(W,S)$, we show that $\mathcal V_u(G)$ is non-discrete andcontains rationals (in lowest form) with denominators divisible by arbitrarilylarge powers of any prime less than a fixed integer. We explicitly constructour lattices as fundamental groups of complexes of groups with universal cover$\Sigma$. We conclude with a new proof of an already known analogous result forregular right-angled buildings.

A family of uniform lattices acting on a Davis complex with a non-discrete set of covolumes