Results 81 to 90 of about 51,088 (236)
Commentarii Mathematici Helvetici, 2007 We study those Artin groups which, modulo their centers, are finite index subgroups of the mapping class group of a sphere with at least 5 punctures. In particular, we show that any injective homomorphism between these groups is given by a homeomorphism of a punctured sphere together with a map to the integers.
Bell, Robert W., Margalit, Dan
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Result for the group SL(2,172)
Ibn Al-Haitham Journal for Pure and Applied SciencesThe set of all (n×n) non-singular matrices over the field F this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension n over the field F, denoted by GL(n,F).
Ghofran Awad Khalaf +3 more
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The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
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A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
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Large‐type Artin groups are systolic [PDF]
Proceedings of the London Mathematical Society, 2019 final preprint version, to appear in Proc. Lond.
Huang, Jingyin, Osajda, Damian
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Motivic p$p$‐adic tame cohomology
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3194-3210, October 2025.Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
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One-dimensional actions of Higman's group
Discrete Analysis, 2019 One-dimensional actions of Higman's group, Discrete Analysis 2019:20, 15 pp. In 1951 Higman constructed the first known example of an infinite finitely generated simple group. He began with the group $H$ that has presentation $\langle a,b,c,d|aba^{-1}=b^
Cristobal Rivas, Michele Triestino
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Counting primes with a given primitive root, uniformly
Mathematika, Volume 71, Issue 4, October 2025.Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
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Characterising large‐type Artin groups
Bulletin of the London Mathematical SocietyAbstractWe show that the class of large‐type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large‐type Artin groups (i.e. independent of the presentation graph).
Alexandre Martin, Nicolas Vaskou
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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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