Add to ORKGIn this thesis we study the theory of equations over a free group. We consider basic notions in combinatorial group theory including free groups and free constructions. Using these tools and recent results involving fully residually free groups, we classify solutions to one-variable systems of equations over a free group. We examine some more sophisticated results involving splittings, and obtain a new theorem that describes solutions to two-variable systems of equations over a free group
This paper is the 10th in a sequence on the structure of sets of solutions to systems of equations o...
This paper reviews approximately 30 revisions of the paper ”Elementary theory of free nonabelian gro...
Abstract. In this paper, we study equations over nilpotent groups of class 2. We show that there are...
In the first part of the thesis, we give a description of the fully residually F quotients of F* ...
AbstractLet G be a group and 〈x〉 be the free group with generator x. Let w(x) be an element of G ∗ 〈...
This paper is the first in a sequence on the first order theory of free products and further general...
An equation in one variable over a base group is an equation in which one side is a monomial in elem...
AbstractUsing an analogue of the Makanin–Razborov diagrams, we give a description of the solution se...
AbstractA free semigroup with involution (FSI) is essentially the set of words over a given alphabet...
Using an analogue of Makanin-Razborov diagrams, we give a description of the solution set of syst...
The aim of this paper is to describe the set of all solutions of equations in free groups and monoid...
We show that, given a word equation over a finitely generated free group, the set of all solutions i...
AbstractWe introduce the notion of a regular quadratic equation and a regular NTQ system over a free...
This paper is the ninth in a sequence on the structure of sets of solutions to systems of equations ...
We consider equations of the form W(x,y) = U with U an element of a free product G of groups. We sho...
This paper is the 10th in a sequence on the structure of sets of solutions to systems of equations o...
This paper reviews approximately 30 revisions of the paper ”Elementary theory of free nonabelian gro...
Abstract. In this paper, we study equations over nilpotent groups of class 2. We show that there are...
In the first part of the thesis, we give a description of the fully residually F quotients of F* ...
AbstractLet G be a group and 〈x〉 be the free group with generator x. Let w(x) be an element of G ∗ 〈...
This paper is the first in a sequence on the first order theory of free products and further general...
An equation in one variable over a base group is an equation in which one side is a monomial in elem...
AbstractUsing an analogue of the Makanin–Razborov diagrams, we give a description of the solution se...
AbstractA free semigroup with involution (FSI) is essentially the set of words over a given alphabet...
Using an analogue of Makanin-Razborov diagrams, we give a description of the solution set of syst...
The aim of this paper is to describe the set of all solutions of equations in free groups and monoid...
We show that, given a word equation over a finitely generated free group, the set of all solutions i...
AbstractWe introduce the notion of a regular quadratic equation and a regular NTQ system over a free...
This paper is the ninth in a sequence on the structure of sets of solutions to systems of equations ...
We consider equations of the form W(x,y) = U with U an element of a free product G of groups. We sho...
This paper is the 10th in a sequence on the structure of sets of solutions to systems of equations o...
This paper reviews approximately 30 revisions of the paper ”Elementary theory of free nonabelian gro...
Abstract. In this paper, we study equations over nilpotent groups of class 2. We show that there are...