Groups and Embeddings in SL(2, ℂ)
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Type
Article
Change log
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
1532-4125
Volume Title
44
Publisher
Informa UK Limited