A note on Lyndon properties in one-relator groups.
DOI10.1007/s00025-010-0092-7zbMath1228.20035OpenAlexW2074412492MaRDI QIDQ545490
Gerhard Rosenberger, Benjamin Fine, Anja Rosenberger
Publication date: 22 June 2011
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-010-0092-7
free groupsone-relator groupsequations over groupsquadratic equationsLyndon propertiesNielsen transformationsregular words
Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08) Algebraic geometry over groups; equations over groups (20F70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On generalised free products
- Elementary theory of free non-abelian groups.
- On cancellations in HNN-groups
- Über alternierende Wörter in freien Produkten mit Amalgam
- Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
- Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
- A classification of fully residually free groups of rank three or less
- Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence.
- Diophantine geometry over groups. II: Completions, closures and formal solutions
- The isomorphism problem for hyperbolic groups. I
- Diophantine geometry over groups. I: Makanin-Razborov diagrams
- Diophantine geometry over groups. III: Rigid and solid solutions.
- Implicit function theorem over free groups.
- A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups.
- \(\exists\)-free groups
- Quadratic properties in group amalgams
- On Lyndon's equation in some Λ-free groups and HNN extensions
- The equation $x^py^q=z^r$ and groups that act freely on $Łambda $-trees
- Commutators as Powers in Free Products of Groups
- Hyperbolic groups and free constructions
- Sq-Universality in Hnn Groups and One Relator Groups
- Some results on one-relator groups
This page was built for publication: A note on Lyndon properties in one-relator groups.