Results 21 to 30 of about 816 (30)

An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids

, 2018
In this paper we give an alternative basis, $\mathcal{B}_{\rm ST}$, for the Kauffman bracket skein module of the solid torus, ${\rm KBSM}\left({\rm ST}\right)$.
I Diamantis, I Diamantis, J Przytycki, S Lambropoulou, S Lambropoulou, Sofia Lambropoulou, VFR Jones   +6 more
core   +1 more source

On an action of the braid group B_{2g+2} on the free group F_{2g}

, 2013
We construct an action of the braid group B_{2g+2} on the free group F_{2g} extending an action of B_4 on F_2 introduced earlier by Reutenauer and the author.
Birman J. S., Birman J. S., CHRISTIAN KASSEL, Magnus W.   +3 more
core   +1 more source

Defeating the Kalka--Teicher--Tsaban linear algebra attack on the Algebraic Eraser

, 2011
The Algebraic Eraser (AE) is a public key protocol for sharing information over an insecure channel using commutative and noncommutative groups; a concrete realization is given by Colored Burau Key Agreement Protocol (CBKAP).
Goldfeld, Dorian, Gunnells, Paul E.
core  

Conjugacy in Artin groups and applications to the classification of surfaces

, 2003
We show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the generators in an Artin group of spherical type.
Godelle, Eddy, Kaplan, Shmuel, Teicher, Mina   +2 more
core   +1 more source

The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm

Open Mathematics, 2013
Laver Richard, Miller Sheila
doaj   +1 more source

Unramified cohomology of alternating groups

Open Mathematics, 2011
Bogomolov Fedor, Petrov Tihomir
doaj   +1 more source

Reconstruction of zinc-metal battery solvation structures operating from -50 ~ +100 °C. [PDF]

Nat Commun
Yao L, Liu J, Zhang F, Wen B, Chi X, Liu Y.   +5 more
europepmc   +1 more source

MR 2776821 Reviewed Berger E. Hurwitz equivalence in dihedral groups. The Electronic Journal of Combinatorics 18 (2011), no.1, paper 45, 16 pp. (Reviewer Francesca Vetro) 20F36

, 2011
In the paper under review, the author studies the orbits of the action of the braid group B_{n} on G^{n} where G denoted a dihedral group. At first, the author considers tuples T consisting only of reflections. In this case, the author proves that the orbits are determinate by three invariants.
Francesca Vetro
openaire   +2 more sources

MR 3020148 Reviewed McMullen, C.T. Braid groups and Hodge theory. Mathematische Annalen, vol. 355 (2013), pp.893–-946. (Reviewer Francesca Vetro) 20F36 (14C30)

2014
In this paper, the author studies the unitary representations of the braid group and the geometric structures on moduli space that arise via the Hodge theory of cyclic branched coverings of P^1. In particular, the author is interested in the classification of certain arithmetic subgroups of U(r, s) which envelop the image of the braid group. The author
openaire   +1 more source

MR 3219513 Reviewed Venkataramana T. N. Monodromy of cyclic coverings of the projective line. Invent. Math., 197 (2014), 1–-45. (Reviewer Francesca Vetro) 14H30 (14D05 22E40 20F36)

2014
Let $d \geq 2$ and $n \geq 1$ be integers and $P_{n+1}$ be the pure braid group on $n + 1$ strands. In this paper, the author studies the image of $P_{n+1}$ under the monodromy action on the homology of a cyclic covering of degree $d$ of the projective line.
openaire   +1 more source