Article
Licensed
Unlicensed
Requires Authentication
Faithful representations of limit groups II
-
Benjamin Fine
and
Gerhard Rosenberger
Published/Copyright:
May 2, 2013
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.
Received: 2012-07-04
Published Online: 2013-05-02
Published in Print: 2013-05-01
© 2013 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- Shortlex automaticity and geodesic regularity in Artin groups
- Generic complexity of the Diophantine problem
- Secrecy without one-way functions
- Constructing a pseudo-free family of finite computational groups under the general integer factoring intractability assumption
- A new algorithm to find apartments in coset geometries
- Faithful representations of limit groups II
- Public key exchange using matrices over group rings
Articles in the same Issue
- Masthead
- Shortlex automaticity and geodesic regularity in Artin groups
- Generic complexity of the Diophantine problem
- Secrecy without one-way functions
- Constructing a pseudo-free family of finite computational groups under the general integer factoring intractability assumption
- A new algorithm to find apartments in coset geometries
- Faithful representations of limit groups II
- Public key exchange using matrices over group rings
