About this representation
Group |
M11 |
Group generators |
Standard generators |
Dimension |
45 |
Ring |
GF(3) |
Characteristic |
3 |
Irreducibility information |
Absolutely irreducible |
Indicator |
+ |
Dimension
of 1-cohomology |
0 |
Dimension
of 2-cohomology |
0 |
Contributed
by |
Not recorded |
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This representation is available in the following
formats:
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 4, 2006 |
certify.pl version 0.05 |
Pass |
Semi-presentation |
Check against a semi-presentation. If this
fails, then the representation is not on standard
generators, and may generate the wrong group. Note that the
semi-presentation itself is not checked here. |
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 |