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ELLIPTIC CURVES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
ELLIPTIC CURVES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...
DRINFELD MODULES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
DRINFELD MODULES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
Action of Non Abelian Group Generated by Affine Homotheties on R^n
Homothety orbit density minimal non abelian action
2010/12/14
In this paper, we study the action of non abelian group G generated by affine homotheties on Rn. We prove that G satisfies one of the following properties: (i) there exist a subgroup G of R∗ co...
G-subsets and G-orbits of Q(sqrt n) under action of the modular group
Real quadratic irrational number Congruences Quadratic residues Linear-fractional transformations
2010/12/10
It is well known that G = hx, y : x2 = y3 = 1i represents the modular group PSL(2,Z), where x : z → −1 z , y : z → z−1 z are linear fractional transformations. Let n = k2m, where k is any ...
On the Action of Steenrod Operations on Polynomial Algebras
Polynomial Algebras Let \( \bba \)
2010/3/4
Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Zp = Z/pZ \). Let \( Ps = Zp [x1,x2,\ldots,xs]. \) A polynomial \( N \in Ps \) is said to be hit if it is ...