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hot to get a functionfield'galois_group?

asked 2013-12-10 21:25:02 -0500

cjsh gravatar image

updated 2013-12-11 01:43:24 -0500

kcrisman gravatar image

is there a table about functionfield'galois_group? only numberfield'galois_group at lmfdb.org

K.<x> = FunctionField(QQ); R.<y> = K[];L.<y> = K.extension(y^5 - x);L;LL.<z> = L[];LL.<z> = K.extension(z - x-y);LL

Function field in y defined by y^5 - x
Function field in z defined by z - y - x


K.maximal_order(); K.galois_group()

Maximal order in Rational function field in x over Rational Field
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answered 2013-12-11 05:40:17 -0500

John Cremona gravatar image

What sort of table are you looking for?

Concerning Sage, it would be nice if Sage had more functionality for working with function fields, but at present it does not.

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Asked: 2013-12-10 21:25:02 -0500

Seen: 31 times

Last updated: Dec 11 '13