A classification of fully residually free groups of rank three or less

DOI10.1006/jabr.1997.7205zbMath0899.20009OpenAlexW2044463949MaRDI QIDQ1383970

Gerhard Rosenberger, Anthony M. Gaglione, Dennis Spellman, Benjamin Fine, Alexei G. Myasnikov

Publication date: 9 September 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7205

zbMATH Keywords

free groupsfully residually free groups\(\Lambda\)-tree actions\(n\)-free groupsfreeness properties of groups

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Other classical first-order model theory (03C68)

Related Items

Groups with free regular length functions in $\mathbb{Z}^{n}$ ⋮ LIMITS OF METABELIAN GROUPS ⋮ On Lyndon's equation in some Λ-free groups and HNN extensions ⋮ Locally free subgroups of one-relator groups ⋮ Normalisers in limit groups. ⋮ Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz ⋮ Normal subgroups in limit groups of prime index ⋮ On Some Finiteness Properties in Infinite Groups ⋮ On Classes of ExponentialA-Groups ⋮ Subgroup properties of fully residually free groups ⋮ Tame Automorphisms of Elementary Free Groups ⋮ A note on Lyndon properties in one-relator groups. ⋮ Almost Locally Free Groups and a Theorem of Magnus: Some Questions ⋮ Limit groups as limits of free groups. ⋮ Classes of Groups Generalizing a Theorem of Benjamin Baumslag ⋮ The fully residually \(F\) quotients of \(F*\langle x,y\rangle\). ⋮ Quadratic properties in group amalgams ⋮ Algebraic geometry over groups. I: Algebraic sets and ideal theory

Cites Work

• On cancellations in HNN-groups
• Groups with exponents. I: Fundamentals of the theory and tensor completions
• Formal power series representations of free exponential groups
• Equations in Free Groups
• Groups With Parametric Exponents
• Generalizations of free groups: some questions
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
• The independence of the axiom of choice from the Boolean prime ideal theorem
• Residually Free Groups
• Free groups and free products—some aping theorems
• Groups with the Same lower Central Sequence as a Relatively Free Group. II. Properties
• Real Length Functions in Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A classification of fully residually free groups of rank three or less