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math.GR2026
Hierarchical hyperbolicity, ball quotients, and the moduli space of smooth cubic surfaces
Daniel Allcock, Alex Wright
We prove that the orbifold fundamental group of the moduli space of smooth complex cubic surfaces is a hierarchically hyperbolic group. This places it within a powerful geometric f…
math.GR2025
The infinite dimensional geometry of conjugation invariant generating sets
Sabine Chu, George Domat, Christine Gao +2
We consider a number of examples of groups together with an infinite conjugation invariant generating set, including: the free group with the generating set of all separable elemen…