Sorry for the noise on the list, this reply was meant for my archive. 2006/1/27, Nilo de Roock <[EMAIL PROTECTED]>: > gap> G:=Group((4,6,5)(7,8,9),(1,7,2,4,6,9,5,3)); > Group([ (4,6,5)(7,8,9), (1,7,2,4,6,9,5,3) ]) > gap> Size(G); > 432 > gap> StructureDescription(G); > "(((C3 x C3) : Q8) : C3) : C2" > > 2006/1/26, Michael Schweitzer <[EMAIL PROTECTED]>: > > Dear forum members, > > > > given a group G of order n (given by generators). Is GAP > > able to identify the group by name or as the > > group of symmetries of some geometric object? > > > > For example: I define G such that G is isomorphic to A5. Can I ask GAP: > > which group is G? And GAP answers: A5- which is, for example, > > the symmetry group of the icosahedron. > > > > That is, does GAP contain a database of finite groups of > > small orders ( < several hundrets, say) which includes > > information about the transformation group aspect: this > > group, among other things, is the symmetry group of X or > > operates in a natural manner on X (I know that GAP > > does contain a database of small groups - but is this kind > > of information stored there?). > > > > The group in question is of order 432 with generators > > > > g1 := (4,6,5)(7,8,9) and g2 := (1,7,2,4,6,9,5,3) > > > > > > Regards, > > Michael Schweitzer > > > > > > Michael Schweitzer > > Alt-Heiligensee 51 A > > 13503 Berlin > > email: [EMAIL PROTECTED] > > > > _______________________________________________ > > Forum mailing list > > [email protected] > > http://mail.gap-system.org/mailman/listinfo/forum > > >
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