#16725: Implement a general monoid_generators for groups
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: group theory | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/groups/monoid_generators-16725|
796262d2ecb0d4aebc168e5107d5cd5ebb0d9d2d
Dependencies: | Stopgaps:
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Comment (by tscrim):
Replying to [comment:8 ncohen]:
> Hmmmm... And what would you think of not having `group_generators` call
`monoid_generators`, and have `group_generators` raise an exception if
`gens()` is not defined ? Something like that ?
>
> {{{AttributeError: No generators are available for this group. Please
implement a .group_generators() method}}}
That's okay with me (although I've made it return a
`NotImplementedError`).
> By the way I do not really understand what this `.gens()` exactly is.
The code seems to assume that `.gens()` returns group generators, but in
this case does the monoid code assume that `.gens()` returns monoid
generators too ?
`gens` is suppose to return a set of generators for this type of object.
However this causes some problems if the generating set becomes smaller in
a subcategory: #15381
> `gens()` should be the one calling `group_generators`, not the other way
around `:-/`
I agree, but this comes from old code in Sage and I don't have the time
and desire to go through and make the necessary changes.
--
Ticket URL: <http://trac.sagemath.org/ticket/16725#comment:10>
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