A DESCRIPTION OF SOLUTIONS OF QUADRATIC EQUATIONS IN HYPERBOLIC GROUPS Academic Article

abstract

• A description is given for the set of solutions of a quadratic equation in a hyperbolic group. It consists of a finite set of parametric solutions of the equation which generates all solutions by the action of a group which may be interpreted as a special mapping class group of a compact surface.

authors

• Grigorchuk, Rostislav

published proceedings

• International Journal of Algebra and Computation

author list (cited authors)

• GRIGORCHUK, R. I., & LYSIONOK, I. G.

citation count

• 9

publication date

• September 1992

publisher

• World Scientific Publishing  Publisher

Digital Object Identifier (DOI)

• 10.1142/s0218196792000153

start page

• 237

end page

• 274

volume

• 2

issue

• 03

URL

• http://dx.doi.org/10.1142/s0218196792000153