#13687: Parents for groups
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Reporter: vbraun | Owner: joyner
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.5
Component: group theory | Resolution:
Keywords: new Parent | Work issues:
Report Upstream: N/A | Reviewers: David Roe
Authors: Volker Braun | Merged in:
Dependencies: | Stopgaps:
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Comment (by vbraun):
1. `AbelianGroup_class` derives from `UniqueRepresentation`, so I want to
enforce canonical arguments with the assertions. Its the job of the
`AbelianGroup` factory function to canonicalize the user input.
5. For the unit group, say, its much more expensive to do the
exponentiation than non-lazy multiplication. Imagine you want to list all
units. This is also what the `FractionalIdealClass` and friends do. If its
cheap to exponentiate the values then I would agree with you, but in that
case you probably don't need such an elaborate `AbelianGroupWithValues`.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13687#comment:10>
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