Decompositions of free groups

DOI10.1016/0022-4049(86)90032-0zbMath0579.20021OpenAlexW2024557908MaRDI QIDQ1067003

B. George

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90032-0

zbMATH Keywords

free groupamalgamated free productdecomposition of group pairsfree factorHNN-decomposition

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Loxodromic elements for the relative free factor complex, Fully irreducible automorphisms of the free group via Dehn twisting in \(\sharp_k(S^2\times S^1)\), All automorphisms of free groups with maximal rank fixed subgroups, Hyperbolicity of the cyclic splitting graph., GENERICITY OF FILLING ELEMENTS, Twisting out fully irreducible automorphisms., Quotient and blow-up of automorphisms of graphs of groups, Automorphisms of graphs of cyclic splittings of free groups., Loxodromics for the cyclic splitting complex and their centralizers, The equation w(x, y) = u over free groups: an algebraic approach, A compactification of outer space which is an absolute retract, A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups, The Grushko decomposition of a finite graph of finite rank free groups: an algorithm.

Cites Work

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• Poincaré duality groups of dimension two
• Decomposition theorems for group pairs
• An unknotting criterion
• A topological proof of Grushko's theorem on free products
• Constructing 3-manifolds from group homomorphisms