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math.GR2026
Contractible Rips complexes of groups via metric gluings
Kevin Li, Luis Jorge Sánchez Saldaña
We say that a finitely generated group equipped with a finite generating set is of type if the Rips complex is contractible for sufficiently large scales. We show that…
math.GR2025
A note on higher coherence of graphs of groups
Kevin Li, Luis Jorge Sánchez Saldaña
For , a group is called -coherent if every subgroup of type is of type . For , we observe that graphs of groups with $n…
math.GR2025
A note on finiteness properties of vertex stabilisers
Kevin Li, Luis Jorge Sánchez Saldaña
We prove a criterion for the geometric and algebraic finiteness properties of vertex stabilisers of -CW-complexes, given the finiteness properties of the group and of the st…