On solutions of xd= 1 in symmetric groups

L Moser - Canadian Journal of Mathematics, 1955 - cambridge.org
L Moser
Canadian Journal of Mathematics, 1955cambridge.org
1. Introduction. Several recent papers have dealt with the number of solutions of xa = 1 in
S„, the symmetric group 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.
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