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Implement matrix representations for finite projective linear groups #12008

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sagetrac-johanbosman mannequin opened this issue Nov 10, 2011 · 1 comment
Open

Implement matrix representations for finite projective linear groups #12008

sagetrac-johanbosman mannequin opened this issue Nov 10, 2011 · 1 comment

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@sagetrac-johanbosman
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Mannequin

sagetrac-johanbosman mannequin commented Nov 10, 2011

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.

Related:

CC: @slel

Component: group theory

Keywords: projective linear group, permutation group

Issue created by migration from https://trac.sagemath.org/ticket/12008

@sagetrac-johanbosman sagetrac-johanbosman mannequin added this to the sage-5.11 milestone Nov 10, 2011
@jdemeyer jdemeyer modified the milestones: sage-5.11, sage-5.12 Aug 13, 2013
@sagetrac-vbraun-spam sagetrac-vbraun-spam mannequin modified the milestones: sage-6.1, sage-6.2 Jan 30, 2014
@sagetrac-vbraun-spam sagetrac-vbraun-spam mannequin modified the milestones: sage-6.2, sage-6.3 May 6, 2014
@sagetrac-vbraun-spam sagetrac-vbraun-spam mannequin modified the milestones: sage-6.3, sage-6.4 Aug 10, 2014
@slel

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