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» Expanders In Group Algebras
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DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Applications to cryptography of twisting commutative algebraic groups
We give an overview on twisting commutative algebraic groups and applications to discrete log based cryptography. We explain how discrete log based cryptography over extension fie...
Alice Silverberg
FOCM
2007
54views more  FOCM 2007»
13 years 7 months ago
Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Evelyne Hubert, Irina A. Kogan
MOC
2000
79views more  MOC 2000»
13 years 7 months ago
On fundamental domains of arithmetic Fuchsian groups
Let K be a totally real algebraic number field and O an order in a quaternion algebra A over K. Assume that the group O1 of units in O with reduced norm equal to 1 is embedded into...
Stefan J. Johansson
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
14 years 7 months ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren
MOC
2002
82views more  MOC 2002»
13 years 7 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put