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MatrixGroup() or order() incorrect for G_2(F_3) #12073
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Stopgaps: todo |
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comment:9
Compare
and
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comment:10
same problems for other finite fields of prime order
versus
EDIT
So our conversion seems to be consistent with gap.. |
comment:11
This boils down to
which is indeed not very-good looking. |
comment:12
ok, so this must come from a confusion: in Gap, Z(5) is not the one of the finite field, but a generator of the group of invertible elements. This means that your matrices are not the correct ones, I think. I propose to close this as invalid. |
Changed stopgaps from todo to none |
comment:13
Confirmed:
and replacing by the above yields:
From the GAP manual:
|
Reviewer: Travis Scrimshaw |
comment:14
Closing tickets in the sage-duplicate/invalid/wontfix module with positive_review (i.e. someone has confirmed they should be closed). |
If I use the generators for the exceptional group G_2(F_3) in its natural 7-dimensional representation over F_3 in the MatrixGroup constructor, the order of the group returned is 8491392 (twice what it should be). However, if I use the same generators through the gap console within sage, I get the correct size.
Component: group theory
Keywords: MatrixGroup, GAP, order
Reviewer: Travis Scrimshaw
Issue created by migration from https://trac.sagemath.org/ticket/12073
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