About this representation
| Group
| SL2(7)
|
| Group generators
| Standard generators
|
| Dimension
| 4
|
| Distinguishing letter
| b
|
| 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:
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
|