Multiplicative Group of a field

asked 2018-06-24 20:44:16 +0100

mathjain
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I have a finite field with me. I want to work with a multiplicative group of it. I only found that it is possible to do this with Z modulo n in Sage. But my fields are finite extensions of such a field.

If someone has a way to deal with, please help!

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answered 2018-06-25 08:22:14 +0100

slelievre
17684 ●22 ●160 ●349 http://carva.org/samue...

The method .unit_group() is indeed missing for non-prime finite fields.

Implementing it is the object of

Sage Trac ticket #7234: Unit groups for finite fields (and more generally)

and that ticket even has a patch with an implementation,

trac_7234.patch

which one can download and apply to one's installation of Sage.

The ticket has been stalled, but hopefully can be revived.

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How to apply it to one's installation? Thanks!

mathjain ( 2018-06-25 16:54:16 +0100 )edit

There is now a git branch on the ticket that you can pull on top of the latest develop release of sage.

FrédéricC ( 2018-06-26 11:13:23 +0100 )edit

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Asked: 2018-06-24 20:44:16 +0100

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Last updated: Jun 25 '18

Multiplicative Group of a field edit