#19594: Implement the cactus group
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.0
Component: group theory | Resolution:
Keywords: cactus | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/groups/cactus_group-19594 | 7eb2a1278ea0ca08375f87e0f82081218a2ea1ec
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Comment (by tscrim):
Replying to [comment:24 tscrim]:
> I am guessing it would be too much to ask for a Garside-type structure
coming from the projection onto S,,n,,, where every element can be written
as `xy^k` where `x` is the natural section of S,,n,, and `y` is some
special element in J,,n,, (similar to a normal form for the braid group
elements, where `y` corresponds to the section of the long element).
A Garside-type structure would not work here because that is used for
passing from the braid monoid to the braid group. So I really don't think
this will work for the cactus group.
--
Ticket URL: <http://trac.sagemath.org/ticket/19594#comment:27>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
