Automorphism groups of cocompact CAT(0) cube complexes

Abstract: Given a cocompact CAT(0) cube complex, we study the group of its cubical isometries, which frequently forms a non-discrete tdlc group. We present a method to study these groups that is focused on our ability to understand the stabilizer subgroups. We demonstrate the potency of this method by introducing a finite, topologically generating set and discuss an important simple subgroup. If there is time, we discuss some open questions regarding the placement of these groups among non-discrete tdlc groups.

group theory

Audience: researchers in the discipline

Symmetry in Newcastle