Removing chambers in Bruhat-Tits buildings
Sylvain Barre, Mikael Pichot

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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Topological and Geometric Data Analysis
