#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|
c64a5fb9487a0d54da40acd2003b0a2930f06207
Dependencies: | Stopgaps:
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Comment (by ncohen):
Helloooooooooooo !!!
> Unfortunately we don't currently have a way to break out of such not-
implemented generic infinite loops (there's another example with descents
in Weyl groups #15456).
But don't you enter this infinite loop as soon as a group has no `.gens()`
?
{{{
sage: G=groups.presentation.Cyclic(10)
sage: G=G.cartesian_product(G)
sage: G.gens()
AttributeError: 'CartesianProduct_with_category' object has no attribute
'gens'
sage: G.group_generators()
<loop>
}}}
> > Also, if a group has no `group_generators` method nor
`monoid_generators` method then `MyGroup.group_generators()` will result
in an `AttributeError` saying that `monoid_generators` does not exist,
which feels a bit weird `:-/`
>
> With this, that situation will never occur since we've defined a generic
`group_generators` and `monoid_generators` in the `Groups` category, so
every group gets it.
Ahhahahah. Right, sorry.
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/16725#comment:6>
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