Now showing items 1-5 of 5
Groups and Several Equations in one Variable
(World Scientific Publishing, 2001)
This paper addresses the question of simultaneously solving a set of equations in one variable over torsion-free groups.
The Group <G,t|e> When G is Torsion-Free
In this paper we discuss classes of nontrivial elements in the group with a relative presentation <G, t \e >, where G is torsion free and e is solvable over G.
Non-amenable type K equations over groups
(Cambridge University Press, 2003)
We define a class of equations that are not amenable but are type K and are therefore solvable over torsion-free groups. Moreover, we show that these new equations are solvable over all groups.
Equations with Torsion-Free Coefficients
(Cambridge University Press, 2001)
In this paper we generalize techniques used by Klyachko and the authors to prove some tessellation results about S-2. These results are applied to prove the solvability of certain equations with torsion-free coefficients.
A Class of Exponent-Sum Two Equations Over Groups
(Cambridge University Press, 2002)
In this paper, relative pictures are used to analyze a certain family of exponent-sum two equations over groups.