Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.
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Solubility of the conjugacy problem is shown for Dehn twist automorphisms of finitely generated free products of free abelian groups.
Complete characterization of Coxeter groups possessing Property (NL).
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Thurston norm, polytopes and splitting complexity
Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.
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Conjugacy Problem for Dehn Twists of Free Products of Free Abelian Groups
Solubility of the conjugacy problem is shown for Dehn twist automorphisms of finitely generated free products of free abelian groups.
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Characterizing property (NL) in {C}oxeter groups
Complete characterization of Coxeter groups possessing Property (NL).