#19399: let category of growth group be determined by input
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Reporter: dkrenn | Owner:
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.10
Component: asymptotic | Resolution:
expansions | Merged in:
Keywords: | Reviewers: Clemens Heuberger
Authors: Daniel Krenn | Work issues:
Report Upstream: N/A | Commit:
Branch: u/dkrenn/t/19399 | 3dc986d64c61aca5c1ed3562ae9125012e811e57
Dependencies: #19083 | Stopgaps:
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Comment (by dkrenn):
I've completly rewritten the determining of the categories. Needs review.
Replying to [comment:8 cheuberg]:
> I added a rather stupid doctest: `x^W` where `W = Words([0, 1])`. The
resulting growth group turns out to be a monoid; however, `W` itself is
not a monoid. (As a side note, even finite words are not declared to be a
monoid). I am not sure whether we should check that.
Is now checked.
> Apart from that: Shouldn't we check for commutativity of the base and
return `Monoids().Commutative()` instead?
Is now checked as well.
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Ticket URL: <http://trac.sagemath.org/ticket/19399#comment:12>
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