S„, the symmetricgroup of degree n. Let us denote this number by An_d and let A„,t = Tn. Chowla, Herstein and Moore (… In §5 we show how some corresponding results can be obtained for the number of solutions of xd = 1 in alternating groups. …
1. Introduction. Several recent papers have dealt with the number of solutions of xd = 1 in Sn, the symmetric group of degree n. Let us denote this number by An,d and let An,2 = Tn.