5 papers · 1 filter
Cubical small-cancellation quotients of non-products
Macarena Arenas, Kasia Jankiewicz, Daniel T. Wise
We show that if is a compact nonpositively curved cube complex which is a non-product, then has a proper quotient that is of a cube complex with these same proper…
Cleanliness versus Specialness
Kasia Jankiewicz
We show that the fundamental group of a geometrically clean graph of finite rank free groups does not need to be virtually compact special, answering a question of Wise. This impli…
The -conjecture implies the center conjecture for Artin groups
Kasia Jankiewicz, Kevin Schreve
In this note, we prove that the -conjecture for Artin groups implies the center conjecture for Artin groups. Specifically, every Artin group without a spherical factor that…
Splittings of triangle Artin groups
Kasia Jankiewicz
We show that a triangle Artin group where splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either $…
Lower bounds on cubical dimension of groups
Kasia Jankiewicz
For each we construct examples of finitely presented small cancellation groups that do not act properly on any -dimensional CAT(0) cube complex.