Results 11 to 20 of about 3,993 (104)
On braid groups and right-angled Artin groups [PDF]
Geometriae Dedicata, 2014 A \textit{right-angled Artin group} is a group with a presentation whose only relators are commutators between generators. A. Abrams and R. Ghrist conjectured in [\textit{A. Abrams}, Geom. Dedicata 92, 185--194 (2002; Zbl 1049.20023)] and [\textit{R. Ghrist}, AMS/IP Stud. Adv. Math.
Connolly, Francis, Doig, Margaret
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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. This algorithm can be applied not only to braid groups, but to all Garside groups (which include finite type ...
González-Meneses López, Juan +1 more
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MARKOV AND ARTIN NORMAL FORM THEOREM FOR BRAID GROUPS [PDF]
International Journal of Algebra and Computation, 2007 In this paper we will present the results of Artin–Markov on braid groups by using the Gröbner–Shirshov basis. As a consequence we can reobtain the normal form of Artin–Markov–Ivanovsky as an easy corollary.
Bokut, L. A. +2 more
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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 $B\_n/ \_k(P\_n)$ of the Artin braid group $B\_n$ by the subgroup $ \_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 $ \in
Daciberg Lima Gonçalves +2 more
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A quotient of the Artin braid groups related to crystallographic groups
Journal of Algebra, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lima Gonçalves, Daciberg +2 more
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On the linearity of Artin braid groups
Journal of Algebra, 2003 The author proves that all Artin groups of crystallographic type have a faithful representation of dimension the number of reflections of the associated Coxeter group. The faithfulness criterion which is used is that of \textit{D. Krammer} [Ann. Math. (2) 155, No. 1, 131-156 (2002; Zbl 1020.20025)].
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Lower central series of Artin–Tits and surface braid groups
Journal of Algebra, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bellingeri, Paolo +2 more
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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
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New developments in the theory of Artin's braid groups
Topology and its Applications, 2003 The author reviews some recent developments in the theory of the Artin braid groups. In particular, he sketches the three different proofs of Dehornoy's theorem, which states that the Artin braid groups are right-orderable [see \textit{P. Dehornoy}, Trans. Am. Math. Soc. 345, No. 1, 115-150 (1994; Zbl 0837.20048)].
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Tensor stable moduli stacks and refined representations of quivers
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2085-2114, December 2023., 2023 Abstract In this paper, we look at the problem of modular realisations of derived equivalences, and more generally, the problem of recovering a Deligne–Mumford stack X$\mathbb {X}$ and a bundle T$\mathcal {T}$ on it, via some moduli problem (on X$\mathbb {X}$ or A=EndXT$A = \operatorname{End}_{\mathbb {X}} \mathcal {T}$). The key issue is, how does one
Tarig Abdelgadir, Daniel Chan
wiley +1 more source