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Faithful representations of limit groups II
-
Benjamin Fine
und
Gerhard Rosenberger
Veröffentlicht/Copyright:
2. Mai 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
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Artikel in diesem Heft
- 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
Artikel in diesem Heft
- 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
