Results 21 to 30 of about 48,794 (204)
The rational torsion subgroup of J0(N)
Advances in Mathematics, 2023 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 ...
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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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The group of endotrivial modules for the symmetric and alternating groups. [PDF]
, 2010 We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Carlson, Jon, Hemmer, Dave, Mazza, Nadia
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On the Noether Problem for torsion subgroups of tori [PDF]
Pacific Journal of Mathematics, 2020 We consider the Noether Problem for stable and retract rationality for the sequence of $d$-torsion subgroups $T[d]$ of a torus $T$, $d\geq 1$. We show that the answer to these questions only depends on $d\pmod{e(T)}$, where $e(T)$ is the period of the generic $T$-torsor.
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Сurvature-torsion tensor for Cartan connection
Дифференциальная геометрия многообразий фигур, 2019 A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
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On Some Results of a Torsion-Free Abelian Trace Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
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A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
Transactions of the London Mathematical Society, 2021 Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves ...
Garen Chiloyan, Álvaro Lozano‐Robledo
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Endotrivial Modules for the General Linear Group in a Nondefining Characteristic [PDF]
, 2014 Suppose that $G$ is a finite group such that $\operatorname{SL}(n,q)\subseteq G \subseteq \operatorname{GL}(n,q)$, and that $Z$ is a central subgroup of $G$. Let $T(G/Z)$ be the abelian group of equivalence classes of endotrivial $k(G/Z)$-modules, where $
Carlson, Jon F. +2 more
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On torsion subgroups of Lie groups [PDF]
Proceedings of the American Mathematical Society, 1976 We are concerned with torsion subgroups of Lie groups. We extend the classical result of C. Jordan on the structure of finite linear groups to torsion subgroups of connected Lie groups.
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Generators and number fields for torsion points of a special elliptic curve [PDF]
Arab Journal of Mathematical Sciences, 2020 Let E be an elliptic curve with Weierstrass form y2=x3−px, where p is a prime number and let E[m] be its m-torsion subgroup. Let p1=(x1,y1) and p2=(x2,y2) be a basis for E[m], then we prove that ℚ(E[m])=ℚ(x1,x2,ξm,y1) in general.
Hasan Sankari, Mustafa Bojakli
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