1. CMB 2001 (vol 44 pp. 313)
|Images of mod $p$ Galois Representations Associated to Elliptic Curves |
We give an explicit recipe for the determination of the images associated to the Galois action on $p$-torsion points of elliptic curves. We present a table listing the image for all the elliptic curves defined over $\QQ$ without complex multiplication with conductor less than 200 and for each prime number~$p$.
Keywords:Galois groups, elliptic curves, Galois representation, isogeny
Categories:11R32, 11G05, 12F10, 14K02
2. CMB 2000 (vol 43 pp. 282)
|Characteristic $p$ Galois Representations That Arise from Drinfeld Modules |
We examine which representations of the absolute Galois group of a field of finite characteristic with image over a finite field of the same characteristic may be constructed by the Galois group's action on the division points of an appropriate Drinfeld module.
Categories:11G09, 11R32, 11R58