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Consider an elliptic curve E without complex multiplication defined over the rationals.The absolute Galois group of Q acts on the group of torsion points of E, and this action can be expressed in term...
Word maps with small image in simple groups
Word maps with small image simple groups Group Theory
2012/6/25
We construct non-power words which have small image in SL(2; 22n) for each n. In particular, the corresponding word maps are non-surjective. We also use this to construct word maps whose values are pr...
The image of the Lepowsky homomorphism for the group $F_4$
the Lepowsky homomorphism for group Representation Theory
2011/8/24
Abstract: Let $G_o$ be a semisimple Lie group, let $K_o$ be a maximal compact subgroup of $G_o$ and let $\mathfrak{k}\subset\mathfrak{g}$ denote the complexification of their Lie algebras. Let $G$ be ...
Loop subgroups of F_r and the image of their stabilizer subgroups in GL_r(Z)
Loop subgroups of F_r image of their stabilizer subgroups
2011/1/21
For a representative class of subgroups of Fr , the image of their stabilizer subgroup under
the action of Aut(Fr ) in GLr (Z) is calculated.
Morphological dilation image coding with context weights prediction
quad-tree coding morphological dilation variable-length group test coding weights training
2010/12/14
This paper proposes an adaptive morphological dilation image coding with context weights prediction. The new dilation method is not to use fixed models, but to decide whether a coefficient needs to be...