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Faithful representations of limit groups II

Faithful representations of limit groups II Abstract. In (Groups Complex. Cryptol. 3 (2011), 349–355) we showed that any hyperbolic limit group can be faithfully represented in . The proof was constructive in that given a fixed JSJ decomposition for the given limit group the representation can be constructed. The proof depended on showing that certain amalgams of groups admitting faithful representations into also admit such faithful representations. In this short note we give an elegant proof that the restriction to the hyperbolic case can be removed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups Complexity Cryptology de Gruyter

Faithful representations of limit groups II

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/gcc-2013-0005
Publisher site
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Abstract

Abstract. In (Groups Complex. Cryptol. 3 (2011), 349–355) we showed that any hyperbolic limit group can be faithfully represented in . The proof was constructive in that given a fixed JSJ decomposition for the given limit group the representation can be constructed. The proof depended on showing that certain amalgams of groups admitting faithful representations into also admit such faithful representations. In this short note we give an elegant proof that the restriction to the hyperbolic case can be removed.

Journal

Groups Complexity Cryptology – de Gruyter

Published: May 1, 2013

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