About this representation

Group SL2(7)
Group generators Standard generators
Dimension 6
Distinguishing letter a
Ring GF(9)
Characteristic 3
Irreducibility information Absolutely irreducible
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe A B
MeatAxe binary A B
GAP A B
GAP A, B
Magma A, B

Checks applied

Check Description Date Checked by Result
Presentation Check against the relations in a presentation. If this test passes, then the group is of the correct isomorphism type, and the generators are those stated. Note that the presentation itself is not checked here. Jul 24, 2006 certify.pl version 0.05 Pass
Projective presentation Check against a presentation for a quotient group (checking projective orders rather than actual orders). Jul 4, 2006 certify.pl version 0.05 Pass
Projective semi-presentation Check against a semi-presentation for a quotient group (checking projective orders rather than actual orders). Jul 4, 2006 certify.pl version 0.05 Pass
Dimension/field Check the dimension and field/ring of the representation. Jul 4, 2006 certify.pl version 0.05 Pass
Files exist Check whether files exist (where stated). Jul 4, 2006 certify.pl version 0.05 Pass
Irreducibility Check the irreducibility type is correct. Jul 5, 2006 irr.pl v0.2 Pass