Results 21 to 30 of about 760,948 (301)
Local data of rational elliptic curves with nontrivial torsion [PDF]
Pacific Journal of Mathematics, 2021 By Mazur's Torsion Theorem, there are fourteen possibilities for the non-trivial torsion subgroup $T$ of a rational elliptic curve. For each $T$, such that $E$ may have additive reduction at a prime $p$, we consider a parameterized family $E_T$ of ...
Alexander J. Barrios, Manami Roy
semanticscholar +1 more source
Torsion generators of the twist subgroup
Tohoku Mathematical Journal, 2022 10 pages, 6 figures.
Altunoz, Tulin +2 more
openaire +3 more sources
Automatic continuity for groups whose torsion subgroups are small [PDF]
Journal of group theroy, 2021 We prove that a group homomorphism φ : L → G \varphi\colon L\to G from a locally compact Hausdorff group 𝐿 into a discrete group 𝐺 either is continuous, or there exists a normal open subgroup N ⊆ L N\subseteq L such that φ ( N ) \varphi(N) is a torsion
Daniel Keppeler +2 more
semanticscholar +1 more source
Torsion subgroups of quasi-abelianized braid groups
Journal of Algebra, 2017 This article extends the works of Gonçalves, Guaschi, Ocampo [GGO] and Marin [MAR2] on finite subgroups of the quotients of generalized braid groups by the derived subgroup of their pure braid group. We get explicit criteria for subgroups of the (complex) reflection group to lift to subgroups of this quotient.
Vincent Beck, Iván Marín
openalex +7 more sources
Torsion homology growth for noncongruence subgroups of Bianchi groups [PDF]
International Journal of Number Theory, 2019 We carry out numerical experiments to investigate the growth of torsion in their first homology of noncongruence subgroups of Bianchi groups. The data we collect suggest that the torsion homology growth conjecture of Bergeron and Venkatesh for congruence subgroups may apply to the noncongruence case as well.
Gonca Kızılaslan +1 more
openalex +5 more sources
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
openaire +2 more sources