Removing chambers in Bruhat-Tits buildings

TL;DR

This paper introduces a method to construct new countable groups from Euclidean buildings by selectively removing chambers, expanding the understanding of group actions on geometric structures.

Contribution

It presents a novel construction technique for groups acting on Euclidean buildings through chamber removal, offering new insights into their structure and properties.

Findings

New class of countable groups constructed from Euclidean buildings

Analysis of group actions after chamber removal

Potential applications to geometric group theory

Abstract

We introduce and study a family of countable groups constructed from Euclidean buildings by "removing" suitably chosen subsets of chambers.