Results 21 to 30 of about 5,396,346 (248)
Homomorphisms between braid groups [PDF]
We give a complete classification of homomorphisms from the braid group on $n$ strands to the braid group on $2n$ strands when $n$ is at least 5. We also classify endomorphisms of the braid group on 4 strands, as well as homomorphisms from the commutator
Chen, Lei, Margalit, Dan, Kordek, Kevin
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The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]
Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
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Comparative analysis of tensile strength between three types of retraction cords [PDF]
Introduction: Gingival retraction is the withdrawal of the marginal gingiva away from the tooth. This procedure creates a space between the prepared tooth and the gingival tissues to catch more fine details of the impression material.
Desislava R. Makakova +2 more
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Background Retainer is a necessary procedure when orthodontic treatment complete to avoid relapse due to periodontal fiber elasticity and to allow for alveolar bone regeneration.
Abdullah A. Alabbadi +3 more
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Monodromy representations of Jordan-Pochhammer systems
In this paper, we consider Burau representations of braid groups and Gassner representations of pure braid groups, and their realization as monodromy representations of Jordan-Pochhammer systems with suitable parameters.
V. P. Leksin
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A polynomial algorithm for the braid double shielded public key cryptosystems
We propose new provable practical deterministic polynomial time algorithm of cryptographic analysis for the braid Wang, Xu, Li, Lin and Wang «Double shielded public key cryptosystems», where the authors recommended the Artin braid groups Bn as platforms
V.A. Roman’kov
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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This chapter introduces the reader to Artin's classical braid groups Bₙ. The group Bₙ is isomorphic to the mapping class group of a disk with n marked points.
Dan Margalit, Benson Farb
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Braided finite automata and representation theory
We introduce classical and non-deterministic finite automata associated with representations of the braid group. After briefly reviewing basic definitions on finite automata, Coxeter’s groups and the associated word problem, we turn to the Artin ...
Anastasia Doikou
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CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR $n$ -BODY CHOREOGRAPHIES
Since the foundational work of Chenciner and Montgomery in 2000 there has been a great deal of interest in choreographic solutions of the $n$ -body problem ...
JAMES MONTALDI, KATRINA STECKLES
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