SL2 Representations of Finitely Presented Groups

Includes and extends much of the classical theory of $SL(2)$ representations of groups. This book features: a finitely computable invariant $H[/pi]$ associated to groups and used to study the $SL(2)$ representations of $/pi$; and, invariant theory and knot theory related through $SL(2)$ representations of knot groups.

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This book is essentially self-contained and requires only a basic abstract algebra course as background. The book includes and extends much of the classical theory of $SL(2)$ representations of groups. Readers will find $SL(2)$Representations of Finitely Presented Groups relevant to geometric theory of three dimensional manifolds, representations of infinite groups, and invariant theory. It features: a new finitely computable invariant $H[/pi]$ associated to groups and used to study the $SL(2)$ representations of $/pi$; and, invariant theory and knot theory related through $SL(2)$ representations of knot groups.