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math.GR2021★ 2 cited
Tits Alternative for 2-dimensional CAT(0) complexes
Damian Osajda, Piotr Przytycki
We prove the Tits Alternative for groups acting on -dimensional complexes with a bound on the order of the cell stabilisers.
math.GR2021★ 2 cited
Locally elliptic actions, torsion groups, and nonpositively curved spaces
Thomas Haettel, Damian Osajda
Extending and unifying a number of well-known conjectures and open questions, we conjecture that locally elliptic (that is, every element has a bounded orbit) actions by automorphi…