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OrderRelativeOrder

Computes a relative representation of the given orders.

Syntax:

Or := OrderRelativeOrder(O, o);

order
  Or  
order
  O  
order
  o  

See also:  OrderAbs

Description:

This function computes a relative representation for O and o where o is a suborder of O. The homomorphisms are installed.


Example:

A simple example

kash> O:=Order(x^4-4*x^2+1);
Generating polynomial: x^4 - 4*x^2 + 1

kash> o:=OrderSubfield(O)[2];
Generating polynomial: x^2 - 2

kash> Or:=OrderRelativeOrder(O, o);
>       F[1]
        /
       /
   E1[1]
  /
 /
Q
F  [ 1]     x^2 + [0, 1]*x - 1
E 1[ 1]     x^2 - 2



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