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Commensurating endomor- phisms of acylindrically hyperbolic groups and applications.Groups Geom

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2026 3 2025 1

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Free-by-cyclic groups are conjugacy separable

math.GR · 2025-09-26 · unverdicted · novelty 8.0

All finitely generated free-by-cyclic groups are conjugacy separable, resolving Question 19.41 of the Kourovka Notebook and implying residual finiteness of their outer automorphism groups.

Quasiisometric embeddings between right-angled Artin groups: rigidity

math.GR · 2026-05-12 · unverdicted · novelty 7.0

Branching conditions on RAAG defining graphs force quasiisometric embeddings to induce extension graph embeddings, enabling rigidity theorems including obstructions to tree-product embeddings, classifications for cycle RAAGs, and non-universal receivers in each dimension.

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