Klyachko's methods and the solution of equations over torsion-free groups

zbMath0861.20029MaRDI QIDQ1920464

Roger Fenn, Colin P. Rourke

Publication date: 13 May 1997

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

solutionsfree productsHNN-extensionsequationstorsion free groupsKervaire conjecture

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (11)

Commutator length of powers in free products of groups ⋮ How to generalize known results on equations over groups. ⋮ Equations over solvable groups ⋮ Solving equations of length seven over torsion-free groups ⋮ Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator. ⋮ Yet another Freiheitssatz: Mating finite groups with locally indicable ones ⋮ Economical adjunction of square roots to groups. ⋮ On balanced presentations of the trivial group. ⋮ The group \(\langle G,t\mid e\rangle\) when \(G\) is torsion free ⋮ Explicit solutions of certain orientable quadratic equations in free groups ⋮ The surjectivity problem for one-generator, one-relator extensions of torsion-free groups

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