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 KASH3 Reference Manual
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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);
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