Corpus ID: 235446293

Finiteness properties for relatives of braided Higman--Thompson groups

@inproceedings{Skipper2021FinitenessPF,
title={Finiteness properties for relatives of braided Higman--Thompson groups},
author={Rachel Skipper and Xiaolei Wu},
year={2021}
}
• Published 2021
• Mathematics
We study the finiteness properties of the braided Higman–Thompson group bVd,r(H) with labels in H ≤ Bd, and bFd,r(H) and bTd,r(H) with labels in H ≤ PBd where Bd is the braid group with d strings and PBd is its pure braid subgroup. We show that for all d ≥ 2 and r ≥ 1, the group bVd,r(H) (resp. bTd,r(H) or bFd,r(H)) is of type Fn if and only if H is. Our result in particular confirms a recent conjecture of Aroca and Cumplido.
1 Citations
Homological stability for the ribbon Higman--Thompson groups
• Mathematics
• 2021
We generalize the notion of asymptotic mapping class groups and allow them to surject to the Higman–Thompson groups, answering a question of Aramayona and Vlamis in the case of the Higman–ThompsonExpand

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