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  5. 2026

Geometric Group Theory

Icon: calendar GGT Session Talk #7.1 | 2026 Jul 15 from 10:30AM to 10:55AM (Zagreb) | B3-17

Subevent of GGT Session #7

‟Subgroups of Coxeter groups and Stallings Foldings” by Jake Murphy Murphy <jmurphy4@oberlin.edu>, Oberlin College

Abstract:

Stallings introduced the concept of Stallings foldings to aid in the study of free groups, which creates a “folded graph” associated with a subgroup of a free group. Dani-Levcovitz adapted this concept to the setting of Right-Angled Coxeter Groups. In this talk, we will generalize this idea to certain finitely generated subgroups of Coxeter groups to determine their index, whether they are normal, and to find generating sets of their intersections.