Results 61 to 70 of about 5,391,081 (192)
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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Outcome for the group SL(2,57)
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 over the field F, denoted by . The determinant of these matrices
Niran Sabah Jasim s +3 more
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Stability for the Cohomology of Artin Groups
Advances in Mathematics, 1999 The authors consider the braid groups \(B^{[n]}\) of type \(A_n\), \(B_n\) and \(C_n\). For each type one has the natural inclusion \(j_n\colon B^{[n]}\to B^{[n+1]}\). Let \(R_n(q)\) be the \(\mathbb{Z}[B_n]\) module obtained by having the generators of \(B^{[n]}\) act by multiplication by \(-q\), \(q\) is an invertible element in some domain with unit.
SALVETTI, MARIO, De Concini
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Cohomology of affine Artin groups and applications [PDF]
Transactions of the American Mathematical Society, 2008 21 pages, 4 ...
CALLEGARO, FILIPPO GIANLUCA +2 more
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On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
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Non-vanishing of Artin-twisted L-functions of elliptic curves [PDF]
, 2013 Let E be an elliptic curve and ρ an Artin representation, both defined over Q. Let p be a prime at which E has good reduction. We prove that there exists an infinite set of Dirichlet characters χ, ramified only at p, such that the Artin-twisted L-values ...
Ward, Thomas
core
, 2017 This chapter deals with right-angled Artin groups, a broad spectrum of groups that includes free groups on one end, free abelian groups on the other end, and many other interesting groups in between. A right-angled Artin group is a group G(Γ) defined in
Matt Clay, Robert W. Bell
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Finite simple groups with some abelian Sylow subgroups
Kuwait Journal of Science, 2016 In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
Rulin Shen, Yuanyang Zhou
doaj
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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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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