A funny property of sphere and equations over groups

DOI10.1080/00927879308824692zbMath0788.20017OpenAlexW2067822611MaRDI QIDQ5287586

Anton A. Klyachko

Publication date: 17 August 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824692

zbMATH Keywords

presentationgeneratorrelationKervaire-Laudenbach conjecturenatural inclusion

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (35)

On the Solvability of Equations Over Groups ⋮ THE ASPHERICITY AND FREIHEITSSATZ FOR CERTAIN LOT-PRESENTATIONS OF GROUPS ⋮ GROUPS AND SEVERAL EQUATIONS IN ONE VARIABLE ⋮ Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ Commutator length of powers in free products of groups ⋮ FINITELY ANNIHILATED GROUPS ⋮ How to generalize known results on equations over groups. ⋮ Equations over solvable groups ⋮ Solvable normal subgroups of 2-knot 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. ⋮ Powers with minimal commutator length in free products of groups ⋮ Yet another Freiheitssatz: Mating finite groups with locally indicable ones ⋮ Tesselations ofS²and equations over torsion-free groups ⋮ The adjunction problem over torsion-free groups ⋮ ON SOLVABILITY OF REGULAR EQUATIONS IN THE VARIETY OF METABELIAN GROUPS ⋮ Economical adjunction of square roots to groups. ⋮ TOPOLOGICAL SOLVABILITY OF EQUATIONS OVER GROUPS ⋮ On balanced presentations of the trivial group. ⋮ The group \(\langle G,t\mid e\rangle\) when \(G\) is torsion free ⋮ Strongly minimal \(PD_4\)-complexes ⋮ A KNOT-THEORETIC EQUIVALENT OF THE KERVAIRE CONJECTURE ⋮ ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS ⋮ \(PD_4\)-complexes and 2-dimensional duality groups ⋮ Disk Diagrams, Tessellations of the 2-Sphere, and Equations over Torsion-Free Groups ⋮ SOME EQUATIONS OVER TORSION-FREE GROUPS ⋮ Asphericity of groups defined by graphs ⋮ Universal solvability of group equations ⋮ The structure of one-relator relative presentations and their centres ⋮ The relative hyperbolicity of one-relator relative presentations ⋮ On singular equations over torsion-free groups ⋮ Explicit solutions of certain orientable quadratic equations in free groups ⋮ Equations with torsion-free coefficients ⋮ On aspherical presentations of groups ⋮ The surjectivity problem for one-generator, one-relator extensions of torsion-free groups

Cites Work

• Unnamed Item
• Nonsingular systems of two length three equations over a group
• EQUATIONS OVER GROUPS AND GROUPS WITH A SINGLE DEFINING RELATION

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