File: 11.22.txt

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gap> K:=ContractibleGcomplex("SL(2,O-15)");;
gap> PK:=QuotientOfContractibleGcomplex(K,Group(-One(K!.group)));;
gap> for n in [0..2] do
> for k in [1..K!.dimension(n)] do
> Print( CohomologicalPeriod(K!.stabilizer(n,k)),"  ");
> od;od;
2  2  2  2  2  2  2  2  2  2  2  2  2  2  
gap> R:=FreeGResolution(PK,5);;
gap> for n in [0..4] do
> Print("H_",n," = ", Homology(TensorWithIntegers(R),n),"\n");
> od;
H_0 = [ 0 ]
H_1 = [ 6, 0, 0 ]
H_2 = [ 6, 0 ]
H_3 = [ 6 ]
H_4 = [ 6 ]