Makanin-Razborov diagrams for limit groups

Abstract

We give a description of $Hom(G,L)$, where $L$ is a limit group (fully residually free group). We construct a finite diagram of groups, Makanin-Razborov diagram, that gives a convinient representation of all such homomorphisms.

22 pages, 7 figures

References in corpus (2)

• Combination of convergence groups
• Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams

Cited by in corpus (7)

• Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams
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• Limit groups for relatively hyperbolic groups, I: The basic tools
• Makanin-Razborov Diagrams over Free Products
• Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families
• Centralizers of Finite Subgroups of the Mapping Class Group
• Lectures notes in universal algebraic geometry