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On Solutions of xd = 1 In Symmetric Groups

Published online by Cambridge University Press:  20 November 2018

Leo Moser
Leo Moser*
Affiliation:
Research Institute, Canadian Mathematical Congress and University of Alberta
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 159 - 168
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Chowla, S., Herstein, I. N., and Moore, K., On recursions connected with symmetric groups I, Can. J. Math. 8 (1951), 328–334.Google Scholar
2. Chowla, S., Herstein, I. N., and Scott, W. R., The solutions of xd = l in symmetric groups, Norske Vid. Selsk., 25 (1952), 29–31.Google Scholar
3. Jacobsthal, E., Sur le nombre d'elements du group symetrique Sn dont l'ordre est un nombre premier, Norske Vid. Selsk., 21 (1949), 49–51.Google Scholar
4. Szegö, G., Orthogonal Polynomials, Amer. Math. Soc. Coll. publications (New York, 1939).Google Scholar