Results 31 to 40 of about 773,208 (320)
Algebra & Number Theory, 2020 Let $K$ be a number field, and let $E/K$ be an elliptic curve over $K$. The Mordell--Weil theorem asserts that the $K$-rational points $E(K)$ of $E$ form a finitely generated abelian group.
M. Derickx +4 more
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Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
Karpatsʹkì Matematičnì Publìkacìï, 2022 The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
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Pure subgroups of torsion-free groups [PDF]
Transactions of the American Mathematical Society, 1987 In this paper, we show that certain new notions of purity stronger than the classical concept are relevant to the study of torsion-free abelian groups. In particular, implications of ∗ {\ast } -purity, a concept introduced in one of our recent papers, are investigated. We settle an open question (posed by Nongxa) by proving
Charles Megibben, Paul Hill
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On a probabilistic local-global principle for torsion on elliptic curves [PDF]
Journal de Théorie des Nombres de Bordeaux, 2020 Let $m$ be a positive integer and let $E$ be an elliptic curve over $\mathbb{Q}$ with the property that $m\mid\#E(\mathbb{F}_p)$ for a density $1$ set of primes $p$. Building upon work of Katz and Harron-Snowden, we study the probability that $m$ divides
J. Cullinan, Meagan Kenney, J. Voight
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Structure of the cuspidal rational torsion subgroup of J1(pn) [PDF]
, 2008 Let p be a prime and let J1(pn) denote the Jacobian of the modular curve X1(pn). The Jacobian J1(pn) contains a ℚ‐rational torsion subgroup generated by the cuspidal divisor classes [(a/pn)−(∞)], where p∤ a.
Yifan Yang, Jeng-Daw Yu
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Teleparallelism in the algebraic approach to extended geometry
Journal of High Energy Physics, 2022 Extended geometry is based on an underlying tensor hierarchy algebra. We extend the previously considered L ∞ structure of the local symmetries (the diffeomorphisms and their reducibility) to incorporate physical fields, field strengths and Bianchi ...
Martin Cederwall, Jakob Palmkvist
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Хірургія дитячого віку, 2023 Introduction. One of the complications of the clinical course of cerebral palsy in children is external torsion of the tibia. The issue of localization and the mechanism of its formation, as well as effective methods of its elimination, is debatable ...
A.A. Danylov +3 more
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Quadratic torsion subgroups of modular Jacobian varieties [PDF]
Israel Journal of Mathematics, 2021 arXiv admin note: text overlap with arXiv:1709 ...
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On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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Adnexal torsion: is there a familial tendency?
Clinical and Experimental Obstetrics & Gynecology, 2020 Objective: To investigate whether patients diagnosed with adnexal torsion report a family history of adnexal torsion in a first degree relative. Materials and Methods: All women with a surgical diagnosis of adnexal torsion operated from 2008 to 2016 were
N. Smorgick +5 more
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