Opened 11 years ago

Last modified 6 months ago

#12008 new enhancement

Implement matrix representations for finite projective linear groups

Reported by: Johan Bosman Owned by: joyner
Priority: major Milestone: sage-6.4
Component: group theory Keywords: projective linear group, permutation group
Cc: Samuel Lelièvre Merged in:
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Report Upstream: N/A Work issues:
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Description (last modified by Samuel Lelièvre)

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:

Change History (5)

comment:1 Changed 9 years ago by Jeroen Demeyer

Milestone: sage-5.11sage-5.12

comment:2 Changed 9 years ago by For batch modifications

Milestone: sage-6.1sage-6.2

comment:3 Changed 9 years ago by For batch modifications

Milestone: sage-6.2sage-6.3

comment:4 Changed 8 years ago by For batch modifications

Milestone: sage-6.3sage-6.4

comment:5 Changed 6 months ago by Samuel Lelièvre

Cc: Samuel Lelièvre added
Description: modified (diff)
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