#19594: Implement the cactus group
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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:
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Comment (by tscrim):
Replying to [comment:9 dimpase]:
> Is any cactus group automatic? GAP has [http://www.gap-
system.org/Packages/kbmag.html means] to try to check whether an f.p.
group is automatic. (this would give one a normal form, etc).
I don't know. The best I could find from some quick Googling is
[http://mathoverflow.net/questions/65280/splitting-of-homomorphism-from-
cactus-group-to-permutation-group this MO question] (which suggests that
my approach does not give a normal form). We can try as I also included a
f.p. version of the group which should be easy to feed to GAP. However,
from me it would have to wait until tomorrow as I'm going to sleep now.
--
Ticket URL: <http://trac.sagemath.org/ticket/19594#comment:10>
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