Commutator subgroups and toric topology
演讲者
Fedor Vylegzhanin
时间
2025年04月29日 13:30 至 14:30
地点
A3-4-301
线上
Zoom 482 240 1589
(BIMSA)
摘要
A right-angled Coxeter group (RACG) is generated by a set of involutions, some of which commute. It turns out that classifying spaces for RACGs and their commutator subgroups have explicit CW-models, provided by the theory of polyhedral products: those are real Davis-Januszkiewicz spaces and real moment-angle complexes, respectively. This allowed Panov and Veryovkin to give a minimal set of generators for the commutator subgroup, and to study the case when this subgroup is free. Following the idea of Li Cai, I will describe another minimal set of generators and a small sufficient set of relations between them. More generally, these results apply to Cartesian subgroups of graph products of groups.