#7234: Unit groups for finite fields (and more generally)
---------------------------+------------------------------------------------
Reporter: fwclarke | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-wishlist
Component: algebra | Keywords: unit group finite field ring
Work_issues: | Author: Francis Clarke
Reviewer: | Merged:
---------------------------+------------------------------------------------
Comment(by cremona):
When I implemented that for number fields I ran into these issues.
Initially I tried to construct a UnitGroupElement but gave up -- the
problem I faced was the underlying AbelianGroup class, and that has not
(yet) improved.
Concerning {{{(Z/nZ)^*}}}, note that this is implemented over number
fields (by me and Maite) using pari functions for that, including
generalised discrete logs. Sage already has Integers(n).unit_group_gens()
using some native code; it could also use pari.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7234#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--~--~---------~--~----~------------~-------~--~----~
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected]
To unsubscribe from this group, send email to
[email protected]
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en
-~----------~----~----~----~------~----~------~--~---
