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 > _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
