#13726: The semimonomial group
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Reporter: tfeulner | Owner: joyner
Type: enhancement | Status:
Priority: major | needs_review
Component: group theory | Milestone: sage-5.13
Keywords: (semi-)monomial group, | Resolution:
semilinear action, isometry group | Merged in:
Authors: Thomas Feulner | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by vbraun):
Replying to [comment:12 tfeulner]:
> I did not find any answer to your question. But the wreath product G \wr
S_n is known as the
> ''complete monomial group''. So, do you think I should call my group
> `CompleteSemimonomialGroup` or `SemimonomialTransformationGroup` to
emphasize the difference?
I think either name would be fine. `SemimonomialTransformationGroup`
sounds clearer to me since it makes it clear that we are talking about
groups acting in a certain way. Though if people in your field always talk
about complete monomial groups then the former might be better, I don't
know. Take your pick ;-)
> The symmetric group S_n is the group of monomial automorphisms of the
n-dimensional binary vector space.
Oh, good point. I was somehow assuming that there is at least one non-
trivial unit.
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Ticket URL: <http://trac.sagemath.org/ticket/13726#comment:13>
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