Dear forum, The first part of the following code returns a strange result: two orbits of size 6 on a 6-element right transversal. Shouldn't the given action coincide with the action on the right cosets as shown in the second part of the code?
Thank you, Anvita ---------------------------------------------------------------- gap> gap> S4:=SymmetricGroup(4); Sym( [ 1 .. 4 ] ) gap> S3:=SymmetricGroup(3); Sym( [ 1 .. 3 ] ) gap> K:=Group((1,2),(1,2)(3,4)); Group([ (1,2), (1,2)(3,4) ]) gap> RT:=RightTransversal(S4,K); RightTransversal(Sym( [ 1 .. 4 ] ),Group([ (1,2), (1,2)(3,4) ])) gap> ORT:=Orbits(S3,RT,OnRight);; gap> List(ORT,Size); [ 6, 6 ] gap> gap>############################################################ gap> gap> RC:=RightCosets(S4,K);; gap> ORC:=Orbits(S3,RC,OnRight);; gap> List(ORC,Size); [ 3, 3 ] gap> ---------------------------------------------------------------- = Make Alternative Medicine at Home Use our empty capsules and our capsule-filling machines to create your own alternative medicines in the comfort of your own home. http://a8-asy.a8ww.net/a8-ads/adftrclick?redirectid=3ab280b45adaa32bb728985f9cefeb74 _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
