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math.GR2025
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…
math.GR2025
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…