Results 41 to 50 of about 773,208 (320)
The group of endotrivial modules for the symmetric and alternating groups. [PDF]
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
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
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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On torsion subgroups of Lie groups [PDF]
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]
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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SUBGROUP OF INTERVAL EXCHANGES GENERATED BY TORSION ELEMENTS AND ROTATIONS [PDF]
Denote by G the group of interval exchange transformations (IETs) on the unit interval. Let Gper ⊂ G be the subgroup generated by torsion elements in G (periodic IETs), and let Grot ⊂ G be the subset of 2-IETs (rotations). The elements of the subgroup G1
M. Boshernitzan
semanticscholar +1 more source
Endotrivial Modules for the General Linear Group in a Nondefining Characteristic [PDF]
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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The Indices of Torsion-Free Subgroups of Fuchsian Groups [PDF]
Elementary algebraic techniques are used to obtain the precise possible indices of torsion-free subgroups of finite index of finitely generated Fuchsian groups (and related groups).
R. G. Burns, Donald Solitar
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A criterion to rule out torsion groups for elliptic curves over number fields [PDF]
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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Torsion-free subgroups of triangle groups [PDF]
Certain torsion-free subgroups of various triangle groups are considered, the proof of their existence, and in some cases their calculation outlined. There is one section which treats certain specific triangle groups, and one which treats the general case.
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