GENERICITY OF FILLING ELEMENTS
DOI10.1142/S0218196711006741zbMath1242.20053arXiv1007.4022MaRDI QIDQ5389108
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
free groupsmembership problemgenericitygeometric group theoryisometric actions on treesstatistical group theoryfilling elementsexponentially generic subsets
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)
Cites Work
- Average-case complexity and decision problems in group theory.
- Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups.
- Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups.
- Decompositions of free groups
- Moduli of graphs and automorphisms of free groups
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- A small simplification in hyperbolic groups
- Approximations of stable actions on \(\mathbb{R}\)-trees
- Generic-case complexity, decision problems in group theory, and random walks.
- Critical densities for random quotients of hyperbolic groups.
- Cogrowth and spectral gap of generic groups.
- Counting primitive elements in free groups
- Statistical properties of finitely presented groups
- Intersection form, laminations and currents on free groups.
- Collapsing of random quotients of hyperbolic groups with torsion.
- ALMOST EVERY GROUP IS HYPERBOLIC
- Generic properties of finitely presented groups and howson's theorem
- A property of subgroups of infinite index in a free group
This page was built for publication: GENERICITY OF FILLING ELEMENTS