Results 81 to 90 of about 321 (123)

Hyperbolic structures for Artin-Tits groups of spherical type

open access: yes, 2019
International audienceThe goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relations between them.
Wiest, Bert, Calvez, Matthieu
core  

Cryptographic Primitives in Artin Groups of Finite Type

open access: yes, 2018
Braid groups can be viewed as Coxeter group "A_n" without relations of type "s_i^2=1$" Substitution of another Coxeter group results in a different Artin group with distinct relations.
Kurupassery, Neel
core  

Rewriting systems in sufficiently large Artin-Tits groups [PDF]

open access: yes
A conjecture of Dehornoy claims that, given a presentation of an Artin-Tits group, every word that represents the identity can be transformed into the trivial wordusing the braid relations, together with certain rules(between pairs of words that are not ...
Rees S, Godelle E
core  

Designated Verifier Signature Scheme Based on Braid Groups [PDF]

open access: yes, 2006
Artin's braid groups have been recently suggested as a new source for public-key cryptography. In this paper we first propose the designated verifier group signature scheme based on the conjugacy search problem and the root problem in the braid ...
Zeng Ji-wen   +5 more
core  

GRAPH 4-BRAID GROUPS AND MASSEY PRODUCTS

open access: yes, 2014
We first show that the braid group over a graph topologically containing no Θ-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains none of
Joon Hyun La, Hyo Won Park, Ki Hyoung Ko
core  

Virtually cocompactly cubulated Artin-Tits groups

open access: yes, 2015
25 pages, 6 figures. Now includes the "virtual" part in the main resultWe give a complete classification of virtually cocompactly cubulated Artin-Tits groups (i.e. having a finite index subgroup acting geometrically on a CAT(0) cube complex).
Haettel, Thomas
core  

Braid of braids groups and evolution algebras. [PDF]

open access: yes
The purpose of this Thesis is to develop the theory of braid of braids and twin of twin groups. We investigate some of their fundamental structural aspects in detail.
Ligouras, Panagiote
core  

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