Families of groups generated by two operators of the same order
Abraham Sinkov · Transactions of the American Mathematical Society · 1933
To begin with, the generating operations Si and S2 are assumed to be of the same order n, so that Sin = S2n = 1.As yet no further restrictions are supposed.A third relation which defines the order of a particular combination of Si and 52 will be introduced later on, in order to show how it actually arises.Under these conditions, then, consider the totality of operators SfSrThis set of operators Í SiS?