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Sam Shepherd: Commanding subgroups.
Description:
Explore a 41-minute lecture on commanding subgroups presented by Sam Shepherd at the Workshop on Cube Complexes and Combinatorial Geometry. Delve into the intricacies of constructing finite covers of graphs of spaces/groups, focusing on the creation of finite-index subgroups within vertex groups that intersect edge groups in a controlled manner. Examine the concept of a group commanding a collection of subgroups, with emphasis on virtually special cubulated groups. Gain insights into practical applications, including an exploration of quasi-isometric rigidity. This talk, part of the Atelier sur complexes cubiques et géométrie combinatoire, was hosted by the Centre de recherches mathématiques (CRM) in June 2023.

Commanding Subgroups in Graph Covers and Quasi-Isometric Rigidity - Lecture

Centre de recherches mathématiques - CRM
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