How to generalize known results on equations over groups.

DOI10.1007/s11006-006-0042-6zbMath1120.20033arXivmath/0406382OpenAlexW2077587361MaRDI QIDQ881009

Anton A. Klyachko

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406382

zbMATH Keywords

free productstorsion-free groupsFreiheitssatzequations over groupsKervaire-Laudenbach conjectureindicable groupssolvability of generalized equationsunimodular equations

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 (7)

Commutator length of powers in free products of groups ⋮ Equations over solvable 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. ⋮ Universal solvability of group equations ⋮ The structure of one-relator relative presentations and their centres

Cites Work

• Unnamed Item
• Unnamed Item
• The descent method for equations over groups
• Torsion-free group without unique product property
• The surjectivity problem for one-generator, one-relator extensions of torsion-free groups
• Klyachko's methods and the solution of equations over torsion-free groups
• Solutions of equations over groups
• A Simple Example of a Torsion-Free, Non Unique Product Group
• THE SOLUTION OF SETS OF EQUATIONS IN GROUPS
• A note on u.p. groups
• On pairs of 2-complexes and systems of equations over groups.
• Equations in groups
• The solution of Length Four Equations Over Groups
• NON-AMENABLE TYPE K EQUATIONS OVER GROUPS
• Equations with torsion-free coefficients
• Solving equations of length at most six over torsion-free groups
• A funny property of sphere and equations over groups

This page was built for publication: How to generalize known results on equations over groups.