14 citations · 52 across the 12 of their papers we have counts for
12 papers
Automorphisms of Groups and a Higher Rank JSJ Decomposition I: RAAGs and a Higher Rank Makanin-Razborov Diagram
Z. Sela
The JSJ decomposition encodes the automorphisms and the virtually cyclic splittings of a hyperbolic group. For general finitely presented groups, the JSJ decomposition encodes only…
Equations in Burnside groups
Rémi Coulon, Zlil Sela
This article is a first step in the study of equations in periodic groups. As an application, we study the structure of periodic quotients of hyperbolic groups. We investigate for…
The rates of growth in a hyperbolic group
Koji Fujiwara, Zlil Sela
We study the countable set of rates of growth of a hyperbolic group with respect to all its finite generating sets. We prove that the set is well-ordered, and that every real numbe…
Non Commutative Algebraic Geometry I: Monomial Equations with a Single Variable
Zlil Sela
This paper is the first in a sequence on the structure of sets of solutions to systems of equations over a free associative algebra. We start by constructing a Makanin-Razborov dia…
Word Equations: Pairs and their Makanin-Razborov Diagrams
Z. Sela
This paper is the first in a sequence on the structure of sets of solutions to systems of equations in a free semigroup. To describe the structure, we present a Makanin-Razborov di…
A report on Tarski's decidability problem
Z. Sela
This paper contains a list of crucial mistakes and counterexamples to some of the main statements in the paper "Elementary theory of free nonabelian groups" by O. Kharlampovich and…