Results 11 to 20 of about 760,948 (301)
The rational torsion subgroup of J0(N) [PDF]
Advances in Mathematics, 2021 Let $N$ be a positive integer and let $J_0(N)$ be the Jacobian variety of the modular curve $X_0(N)$. For any prime $p\ge 5$ whose square does not divide $N$, we prove that the $p$-primary subgroup of the rational torsion subgroup of $J_0(N)$ is equal to that of the rational cuspidal divisor class group of $X_0(N)$, which is explicitly computed in ...
Hwajong Yoo
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Rational torsion in elliptic curves and the cuspidal subgroup [PDF]
Journal de Théorie des Nombres de Bordeaux, 2008 Let $A$ be an elliptic curve over $\Q$ of square free conductor $N$. We prove that if $A$ has a rational torsion point of prime order $r$ such that $r$ does not divide $6N$, then $r$ divides the order of the cuspidal subgroup of $J_0(N)$.
Amod Agashe
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Commutative subgroups and torsion in compact Lie groups [PDF]
Bulletin of the American Mathematical Society, 1960 Armand Borel
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Galois theory, discriminants and torsion subgroup of elliptic curves [PDF]
Journal of Pure and Applied Algebra, 2008 New version, some typos fixed and the proof of the lemma in the Appendix has been ...
I. García-Selfa +2 more
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On purifiable torsion-free rank-one subgroups [PDF]
Hokkaido Mathematical Journal, 2001 First, we give a necessary and sufficient condition for a torsion-free rank-one subgroup of an arbitrary abelian group to be purifiable in a given group and show that all pure hulls of a purifiable torsion-free rank-one subgroup are isomorphic. Next, we show that if a $T(G)$-high subgroup A of an abelian group $G$ is purifiable in $G$, then there ...
Takashi Okuyama
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Torsion classes and pure subgroups [PDF]
Pacific Journal of Mathematics, 1970 Barry Gardner
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The p-torsion subgroup scheme of an elliptic curve
Journal of Number Theory, 2011 Let $k$ be a field of positive characteristic $p$. Question: Does every twisted form of $ _p$ over $k$ occur as subgroup scheme of an elliptic curve over $k$? We show that this is true for most finite fields, for local fields and for fields of characteristic $p\leq11$.
Christian Liedtke
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High subgroups of Abelian torsion groups [PDF]
Pacific Journal of Mathematics, 1961 J. Irwin
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A note on torsion length and torsion subgroups
Journal of Group Theory, 2022 Abstract Answering Questions 19.23 and 19.24 from the Kourovka notebook, we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
Leary, Ian, Minasyan, Ashot
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Decompressive fasciotomy in testicular torsion of the spermatic cord in rats [PDF]
Acta Cirúrgica Brasileira, 2013 PURPOSE: To evaluate the effect of decompression fasciotomy on testes undergoing torsion of the spermatic cord. METHODS: Spermatic cord torsion was induced in 40 Wistar testes for six and 12 hours.
Isabela Passos Pereira Quintaes +4 more
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