File: 11.23.txt

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gap> K:=ContractibleGcomplex("SL(2,O-2)");;
gap> for n in [0..2] do
> for k in [1..K!.dimension(n)] do
> Print(CohomologicalPeriod(K!.stabilizer(n,k)),"  ");
> od;od;
2  4  2  4  2  2  2  2  2  2  2  2  
gap> R:=FreeGResolution(K,11);;
gap> for n in [0..10] do
> Print("H^",n," = ", Cohomology(HomToIntegers(R),n),"\n");
> od;
H^0 = [ 0 ]
H^1 = [ 0 ]
H^2 = [ 6 ]
H^3 = [ 2, 12 ]
H^4 = [ 2, 24 ]
H^5 = [ 12 ]
H^6 = [ 6 ]
H^7 = [ 2, 12 ]
H^8 = [ 2, 24 ]
H^9 = [ 12 ]
H^10 = [ 6 ]