Results 31 to 40 of about 51,088 (236)
Matrix Representations of Artin Groups [PDF]
Proceedings of the American Mathematical Society, 1988 We define matrix representations of Artin groups over a 2 2 -variable Laurent-polynomial ring and show that in the rank 2 case, the representations are faithful. In the special case of Artin’s braid group, our representation is a version of the Burau representation and our faithfulness theorem is a generalization of the well-known fact
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Conjugacy in relatively extra-large Artin groups [PDF]
International Journal of Group Theory, 2015 Let A be an Artin group with standard generators X={x 1 ,…,x n } , n≥1 and defining graph Γ A . A \emph{standard parabolic subgroup} of A is a subgroup generated by a subset of X .
Arye Juhasz
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Right‐angled Artin pro‐p$p$ groups
Bulletin of the London Mathematical Society, 2022 18 ...
Snopce, Ilir, Zalesskii, Pavel
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Generalizations of the standard Artin representation are unitary
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
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Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups
, 2004 We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results.
Bert Wiest +9 more
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Filling loops at infinity in the mapping class group [PDF]
, 2012 We study the Dehn function at infinity in the mapping class group, finding a polynomial upper bound of degree four. This is the same upper bound that holds for arbitrary right-angled Artin groups.Comment: 7 pages, 2 figures; this note presents a result ...
Abrams, Aaron +4 more
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A conjecture about Artin–Tits groups [PDF]
Journal of Pure and Applied Algebra, 2013 We conjecture that the word problem of Artin-Tits groups can be solved without introducing trivial factors ss^{-1} or s^{-1}s. Here we make this statement precise and explain how it can be seen as a weak form of hyperbolicity. We prove the conjecture in the case of Artin-Tits groups of type FC, and we discuss various possible approaches for further ...
Dehornoy, Patrick, Godelle, Eddy
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A topological model of composite preons from the minimal ideals of two Clifford algebras
Physics Letters B, 2020 This paper demonstrates a direct correspondence between a recent algebraic characterization of leptons and quarks as basis elements of the minimal one-sided ideals of the complex Clifford algebras Cℓ(6) and Cℓ(4), shown earlier to transform as a single ...
Niels G. Gresnigt
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Applications for the groups S.U.T.(2,p) where p prime upper than 9
Iraqi Journal for Computer Science and MathematicsThe problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing
Lemya abd alameer +3 more
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The Interplay between Linear Representations of the Braid Group
International Journal of Mathematics and Mathematical Sciences, 2007 We consider Wada's representation as a twisted version of the standard action of the braid group, Bn, on the free group with n generators. Constructing a free group, Gnm, of rank nm, we compose Cohen's map Bn→Bnm and the embedding Bnm→Aut(Gnm) via Wada's
Mohammad N. Abdulrahim, Nibal H. Kassem
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