Results 21 to 30 of about 49,111 (227)
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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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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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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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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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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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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A criterion to rule out torsion groups for elliptic curves over number fields [PDF]
, 2015 We present a criterion for proving that certain groups of the form $\mathbb Z/m\mathbb Z\oplus\mathbb Z/n\mathbb Z$ do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number fields. We apply this criterion to eliminate
Bruin, Peter, Najman, Filip
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