On Artin groups admitting retractions to parabolic subgroups

Autor:	de la Cruz, Bruno Aaron Cisneros, Cumplido, María, Foniqi, Islam
Rok vydání:	2024
Předmět:	Mathematics - Group Theory 20F36 20F65 (Primary)
Druh dokumentu:	Working Paper
Popis:	We generalize the retractions to standard parabolic subgroups for even Artin groups to FC-type Artin groups and other more general families. We prove that these retractions uniquely extend to any parabolic subgroup. We use retractions to generalize the results of Antol\'in and Foniqi that reduce the problem of intersection of parabolic subgroups to weaker conditions. As a corollary, we characterize coherence for the FC case. Comment: 21 pages. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.12291 Zobrazit plný text záznamu View this record from Arxiv