#13726: The semimonomial group
-------------------------------------------------+-------------------------
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:
-------------------------------------------------+-------------------------
Comment (by vbraun):
Here is what I'm confused about. A monomial group is one where all
characters are induced from linear characters. Although I haven't checked,
it seems very plausible that the group of monomial transformations is a
monomial group. But I don't think the converse is true. E.g. S_3 is a
monomial group
{{{
sage: SymmetricGroup(3).is_monomial()
True
}}}
but doesn't seem to be the group of monomial automorphisms of a vector
space (Is this true?).
--
Ticket URL: <http://trac.sagemath.org/ticket/13726#comment:11>
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 http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/groups/opt_out.
