#12008: Implement matrix representations for finite projective linear groups
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Reporter: johanbosman | Owner: joyner
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.8
Component: group theory | Keywords: projective linear group,
permutation group
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Projective linear groups such as PGL(n, q) are represented as abstract
permutation groups.
{{{
sage: PGL(2, 13)
Permutation Group with generators [(3,14,13,12,11,10,9,8,7,6,5,4),
(1,2,9)(3,8,10)(4,5,12)(6,13,14)]
}}}
However, no method has been implemented that represents elements of such
groups as n-by-n matrices (though there is a method that outputs each
element as a permutation matrix). It would be desirable to have such a
thing.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12008>
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