"Source: Text/Group/GrpFP.text";
"Line: 6273";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFP.text, line: 6273
// Example: H80E49 ()
print "Example: H80E49";
ei := GetEchoInput();
SetEchoInput(true);
G<x,y> := FPGroup< x,y | x^2, y^3, (x*y)^7 >;
L := LowIndexSubgroups(G, 7);
L;
H := Core(G, L[2]);
H;
sgH := SchreierGenerators(G, H);
#sgH;
assert $1 eq 6;
sgHu := SchreierGenerators(G, H : Simplify := false);
#sgHu;
assert $1 eq 85;
SetEchoInput(ei);
