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Groups and Several Equations in one Variable

Clifford, Andrew (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

Clifford, Andrew; Goldstein, Richard Z. (Elsevier, 2001)

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

Clifford, Andrew (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

Clifford, Andrew; Goldstein, Richard Z. (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

Clifford, Andrew (Cambridge University Press, 2002)

In this paper, relative pictures are used to analyze a certain family of exponent-sum two equations over groups.