TU-Berlin → Inst. f. Mathematik → Algebra und Zahlentheorie → KASH → Documentation → Reference Manual
KASH3 Reference Manual
search    

Function

GaloisImage ( elt-ord^pad x, elt-ord^rat i ) -> elt-ord^pad

Description

The image of x under the Frobenius automorphism composed with itself i times, that is, a -> a^(p^i) where a is the inertial element of the parent of x.

Examples

x_z5 := pAdicRing(5,20);x_r := UnramifiedExtension(x_z5,3); GaloisImage(x_r.1,4);
Built: Mon Nov 14 21:12:39 UTC 2005 on mack
The KANT Group