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A Note on the Shifted Conjugacy Problem in Braid Groups
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Arkadius Kalka
Published/Copyright:
March 10, 2010
It is an open problem whether the shifted conjugacy (decision) problem in B∞ is solvable. We settle this problem by reduction to an instance of the simultaneous conjugacy problem in Bn for some n ∈ ℕ.
Received: 2008-11-06
Revised: 2009-01-22
Published Online: 2010-03-10
Published in Print: 2009-October
© Heldermann Verlag
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Articles in the same Issue
- The Word and Conjugacy Problem for Shuffle Groups
- Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive Group of the Rational Numbers
- Metabelian Product of a Free Nilpotent Group with a Free Abelian Group
- Almost Locally Free Groups and a Theorem of Magnus: Some Questions
- Authentication from Matrix Conjugation
- The Tits Alternative for Tsaranov's Generalized Tetrahedron Groups
- Decision and Search in Non-Abelian Cramer-Shoup Public Key Cryptosystem
- A Note on the Shifted Conjugacy Problem in Braid Groups
- Algebraic Attacks Galore!
- Space Complexity and Word Problems of Groups
- A Practical Attack on a Certain Braid Group Based Shifted Conjugacy Authentication Protocol
- Existence and Non-Existence of Torsion in Maximal Arithmetic Fuchsian Groups
- Power-Commutative Nilpotent R-Powered Groups
- On the Universal Theory of Torsion and Lacunary Hyperbolic Groups
