Dear all, Suppose I have a multiplication table of a group or a quasigroup say of C_5. I want to define a new binary operation on it say x O y= (x*c)*y where c is a fixed element. I would be thankful if someone writes a function for doing it. I have written the following one but it does not give me the desired result.
h:= CyclicGroup(IsPermGroup,5); slist:=AsSortedList(h); c:= slist[2]; l:=List(slist,a -> List(slist, b -> ((a * c) * b))); q:=List(l,t -> List(t,p -> Position(slist,p))); return QuasigroupByCayleyTable(TransposedMat(AsSortedList(q))); Muhammad Shah _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
