Results 31 to 40 of about 5,391,081 (192)
The Homotopy Type of Artin Groups [PDF]
Mathematical Research Letters, 1994 The author considers quotients of polytopes \(Q_W\) that are the cellular dual to the intersection of the unit sphere with the arrangement of reflecting hyperplanes of (finite) Coxeter groups \(W\). As the main result these quotients are shown to be homotopic to the classifying space of the Artin braid group \(G_W\) corresponding to \(W\).
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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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STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
Forum of Mathematics, Pi, 2015 Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
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Braid pictures for Artin groups [PDF]
Transactions of the American Mathematical Society, 2002 We define the braid groups of a two-dimensional orbifold and introduce conventions for drawing braid pictures. We use these to realize the Artin groups associated to the spherical Coxeter diagrams A_n, B_n=C_n and D_n and the affine diagrams tilde{A}_n, tilde{B}_n, tilde{C}_n and tilde{D}_n as subgroups of the braid groups of various simple orbifolds ...
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Hereditary conjugacy separability of right angled Artin groups and its applications
, 2012 We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
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Addendum: an analogue of Artin reciprocity for closed orbits of skew products [PDF]
, 2008 One of the unfulfilled aims of the authors of the preceding paper [W. Parry and M. Pollicott. An analogue of Bauer’s theorem for closed orbits of skew products. Ergod. Th. & Dynam. Sys.
Pollicott, Mark, Sharp, Richard
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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Tensor models, Kronecker coefficients and permutation centralizer algebras
Journal of High Energy Physics, 2017 We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras.
Joseph Ben Geloun, Sanjaye Ramgoolam
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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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