Proves Virtual Surjection Conjecture and n-(n+1)-(n+2) Conjecture for profinite groups via a numerical criterion for FP_n of modules.
Prosolvable rigidity of surface groups
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Virtual Surjection and the $n$-$(n+1)$-$(n+2)$ Theorem for Profinite Groups
Proves Virtual Surjection Conjecture and n-(n+1)-(n+2) Conjecture for profinite groups via a numerical criterion for FP_n of modules.
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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.