#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 tscrim):
Replying to [comment:4 ncohen]:
> Hmmmm... `group_generators` calls `monoid_generators` and conversely.
Isn't that an infinite loop, for some instance that I cannot create ?
`:-P`
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).
> 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.
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Ticket URL: <http://trac.sagemath.org/ticket/16725#comment:5>
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