Results 91 to 100 of about 321 (123)
Holonomy of the Planar Brownian Motion in a Poisson Punctured Plane. [PDF]
Commun Math PhysSauzedde I.
europepmc +1 more source
Computing the alpha complex using dual active set quadratic programming. [PDF]
Sci RepCarlsson E, Carlsson J.
europepmc +1 more source
Artin braid groups and homotopy groups
Proceedings of the London Mathematical Society, 2009 We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary Brunnian braids, as well as given as a summand of the center of the quotient groups of Artin pure ...
Jie Wu
exaly +3 more sources
Conjugacy Problem for Subgroups with Applications to Artin Groups and Braid Type Group
Communications in Algebra, 2006 Let $G$ be a group endowed with a solution to the conjugacy problem and with an algorithm which computes the centralizer in $G$ of any element of $G$. Let $H$ be a subgroup of $G$. We give some conditions on $H$, under which we provide a solution to the conjugacy problem in $H$. We apply our results to some Artin groups and braid type groups.
Nuno Franco
exaly +5 more sources
Lower central series of Artin–Tits and surface braid groups
Journal of Algebra, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo Bellingeri, John Guaschi
exaly +3 more sources
Almost-crystallographic groups as quotients of Artin braid groups
Journal of Algebra, 2019 Let $n, k \geq 3$. In this paper, we analyse the quotient group $B\_n/Γ\_k(P\_n)$ of the Artin braid group $B\_n$ by the subgroup $Γ\_k(P\_n)$ belonging to the lower central series of the Artin pure braid group $P\_n$. We prove that it is an almost-crystallographic group. We then focus more specifically on the case $k=3$. If $n \geq 5$, and if $τ\in N$
Daciberg Lima Gonçalves +2 more
exaly +6 more sources
Gröbner–Shirshov basis for the braid group in the Artin–Garside generators
Journal of Symbolic Computation, 2008 In this paper, we give a Groebner-Shirshov basis of the braid group $B_{n+1}$ in the Artin--Garside generators. As results, we obtain a new algorithm for getting the Garside normal form, and a new proof that the braid semigroup $B^+{n+1}$ is the subsemigroup in $B_{n+1}$.
L A Bokut
exaly +5 more sources
The $$R_\infty $$ property for pure Artin braid groups [PDF]
Monatshefte Fur Mathematik, 2021 In this paper we prove that all pure Artin braid groups $P_n$ ($n\geq 3$) have the $R_\infty$ property. In order to obtain this result, we analyse the naturally induced morphism $\operatorname{\text{Aut}}(P_n) \to \operatorname{\text{Aut}}(Γ_2 (P_n)/Γ_3(P_n))$ which turns out to factor through a representation $ρ\colon S_{n+1} \to \operatorname{\text ...
Karel Dekimpe +2 more
exaly +5 more sources
Conjugacy problem for braid groups and Garside groups [PDF]
Journal of Algebra, 2003 We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko, and Lee [Adv. Math. 139 (1998) 322–353].
Nuno Franco, Juan Gonzalez-Meneses
exaly +3 more sources