"Source: Text/Group/GrpCoh.text";
"Line: 475";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpCoh.text, line: 475
// Example: H75E8 ()
print "Example: H75E8";
ei := GetEchoInput();
SetEchoInput(true);
G := Alt(8);
M := PermutationModule(G, GF(3));
time CohomologicalDimension(G, M, 1);
assert $1 eq 0;
time CohomologicalDimension(G, M, 2);
assert $1 eq 1;
X := CohomologyModule(G, M);
time CohomologicalDimension(X, 1);
assert $1 eq 0;
time CohomologicalDimension(X, 2);
assert $1 eq 1;
X := CohomologyModule(G, M);
time C:=CohomologyGroup(X, 2);
C;
SetEchoInput(ei);
