#16718: Create a category for Cartesian products of 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: cartesian | Merged in:
product, generators, categories | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | 6664adb7da87177ef6ae877c10dcf0a49fece50e
public/groups/cartesian_product_category-16718| Stopgaps:
Dependencies: |
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Comment (by ncohen):
Hello !
> It's better to have two separate functions because the number of
generators as group is often smaller the number of generators as a monoid
(usually by a factor of 2 since the inverses need to be included as
generators of the monoid for torsion free generators) -- albeit Sage
currently does not make a distinction, nor has the functionality I
believe.
The code that only exists in your head again ....
> Plus `group_generators` currently does not call `monoid_generators` and
not all groups have a `monoid_generators` method.
Why don't all groups have a `monoid_generators` method ? They are monoids,
aren't they ?
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/16718#comment:5>
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