Cover of Gregory W Brumfiel: $SL(2)$ Representations of Finitely Presented Groups

Gregory W Brumfiel $SL(2)$ Representations of Finitely Presented Groups

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American Mathematical Society

2011

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196

978-0-8218-7778-4

0-8218-7778-X

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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. Features ... A new finitely computable invariant $H[\pi ]$ associated to groups and used to study the $SL(2)$ representations of $\pi$. Invariant theory and knot theory related through $SL(2)$ representations of knot groups.

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