"Source: Text/Group/GrpFP.text";
"Line: 6167";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFP.text, line: 6167
// Example: H80E48 ()
print "Example: H80E48";
ei := GetEchoInput();
SetEchoInput(true);
p4g<r, s> := FPGroup< r, s | r^2 = s^4 = (r*s^-1*r*s)^2 = 1 >;
p4g;
h := sub< p4g | (s^-1*r)^4, s*r >;
k := sub< p4g | (s^-1*r)^2, (s*r)^2 >;
Index(p4g, h);
assert $1 eq 8;
Index(p4g, k);
assert $1 eq 8;
n := NormalClosure(p4g, h);
n;
m := MinimalOvergroup(p4g, h);
m;
n := MaximalOvergroup(p4g, k);
n;
T := Transversal(p4g, Normaliser(p4g, h));
T;
l := h meet h^r;
l;
c := Core(p4g, h);
c;
GeneratingWords(p4g, l);
l;
SetEchoInput(ei);
