A. Jarnevic

collaborators

2 papers

math.GR2022

Generic length functions on countable groups

A. Jarnevic, D. Osin, K. Oyakawa

Let $L (G)$ denote the space of integer-valued length functions on a countable group $G$ endowed with the topology of pointwise convergence. Assuming that $G$ does not satisfy any n…

math.GR2022

The geometry of subgroup embeddings and asymptotic cones

Andy Jarnevic

Given a finitely generated subgroup $H$ of a finitely generated group $G$ and a non-principal ultrafilter $ω$ , we consider a natural subspace, $C o n e_{G}^{ω} (H)$ , of the asymptotic co…