#13649: Implement sigma.domain() and sigma.codomain() for sigma a permutation
----------------------------+-----------------------------------------------
Reporter: nthiery | Owner: joyner
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.5
Component: group theory | Keywords: beginner, agregation
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Currently one needs to go through the parent of a permutation to get
its domain and codomain:
{{{
sage: G = SymmetricGroup(8)
sage: g = G.an_element()
sage: g.parent().domain()
{1, 2, 3, 4, 5, 6, 7, 8}
}}}
One would want to have shorthands:
{{{
sage: g.domain()
{1, 2, 3, 4, 5, 6, 7, 8}
sage: g.codomain()
}}}
like there are for most other maps in Sage:
{{{
sage: F = FiniteSetMaps(8)
sage: f = F.an_element()
sage: f.domain()
{0, .., 7}
sage: f.codomain()
{0, .., 7}
}}}
Bonus points for:
{{{
sage: g.image()
{1, 2, 3, 4, 5, 6, 7, 8}
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13649>
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