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Groups and Embeddings in SL(2, ℂ)


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Authors

Button, JO 

Abstract

We give results on when a finitely generated torsion free group does or does not embed in SL(2, C). For instance if we glue two copies of the figure 8 knot along its torus boundary then the fundamental group of the resulting closed 3-manifold sometimes embeds in SL(2, C) and sometimes does not, depending on the identification, whereas a graph of free groups with maximal cyclic edge groups need not embed, even if it is word hyperbolic.

Description

Keywords

CSA group, Graph of groups, Limit group

Journal Title

Communications in Algebra

Conference Name

Journal ISSN

0092-7872
1532-4125

Volume Title

44

Publisher

Informa UK Limited