Fixed the generators in OmegaZero(2m+1,2^k) #2613
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fingolfin
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Jul 4, 2018
| @@ -131,7 +131,7 @@ Error, <subfield> must be a prime or a finite field | |||
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| # | |||
| gap> Omega(3,2); | |||
| Omega(0,3,2) | |||
| GO(0,3,2) | |||
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| x2:= IdentityMat( d, f ); | ||
| x2[ m+1 ][m]:= o; | ||
| x2[ m+2 ][m]:= o; | ||
| x:= x1 * x2; |
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fingolfin
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kind: bug
For odd d and even q, the generators for the matrix groups Omega(0,d,q) from the Rylands/Taylor paper were not correct; one would have to transpose the matrices in order to get a group that respects a form as required. Instead of transposing the generators, we delegate to `SO`, which has the advantage to reduce the possible confusion about the choice of different forms for related orthogonal groups.
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LGTM! |
Codecov Report
@@ Coverage Diff @@
## master #2613 +/- ##
==========================================
+ Coverage 74.8% 74.8% +<.01%
==========================================
Files 479 479
Lines 242251 242238 -13
==========================================
- Hits 181206 181198 -8
+ Misses 61045 61040 -5
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fingolfin
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For odd d and even q,
the generators for the matrix groups Omega(0,d,q)
from the Rylands/Taylor paper were not correct;
one would have to transpose the matrices in order to get
a group that respects a form as required.
Instead of transposing the generators, we delegate to
SO,which has the advantage to reduce the possible confusion
about the choice of different forms for related orthogonal groups.
Resolves #2576