#16725: Implement a general monoid_generators for groups
-------------------------------------+-------------------------------------
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:6 ncohen]:
> 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>
> }}}
Right (unless the user implements a custom `group_generators()`, which is
the current recommendation). (Side note, this exact error shouldn't happen
with #16718.) The other option would be to not have `group_generators`
call `monoid_generators`. I think the infinite loop is the lesser of two
evils (at least until we have the framework for semi-abstract methods like
this).
--
Ticket URL: <http://trac.sagemath.org/ticket/16725#comment:7>
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