> < ^ Date: Tue, 15 Aug 2000 10:52:39 +0200 (CEST)
^ From: Diego Rattaggi <rattaggi@math.ethz.ch >
> ^ Subject: SimsName/IdGroup

Hi,

I have a question about SimsName and IdGroup:

gap> G1 := PrimitiveGroup(10,5);;

gap> SimsName(G1);
"M_10"

gap> IdGroup(G1);
[ 720, 763 ]

gap> G2 := PrimitiveGroup(10,6);;

gap> SimsName(G2);
"S(6)"

gap> IdGroup(G2);
[ 720, 765 ]

gap> S6 := SymmetricGroup(6);;

gap> IdGroup(S6);
[ 720, 763 ]

gap> M12 := PrimitiveGroup(12,2);;
gap> M10 := Stabilizer(M12, [11,12], OnTuples);;

gap> IdGroup(M10);
[ 720, 765 ]


SimsName calls S6 "M_10" and M10 "S(6)".

What's the reason for this ?

Best regards

Diego


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