GENERICITY OF FILLING ELEMENTS

DOI10.1142/S0218196711006741zbMath1242.20053arXiv1007.4022MaRDI QIDQ5389108

Brent B. Solie

Publication date: 24 April 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4022

zbMATH Keywords

free groupsmembership problemgenericitygeometric group theoryisometric actions on treesstatistical group theoryfilling elementsexponentially generic subsets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08) Probabilistic methods in group theory (20P05)

Related Items (2)

Virtual geometricity is rare ⋮ The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces.With the appendix by Khalid Bou–Rabee

Cites Work

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• ALMOST EVERY GROUP IS HYPERBOLIC
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• A property of subgroups of infinite index in a free group

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