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On Recursions Connected WithSymmetric Groups I

Published online by Cambridge University Press:  20 November 2018

S. Chowla ,
I. N. Herstein  and
W. K. Moore
S. Chowla
Affiliation:
University of Kansas
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Although the title of the paper suggests that the nature of the problem considered is group theoretic, our methods are almost completely combinatorial and number theoretic in nature, the group theory entering only insofar as it leads us to various recursions that we study. Let Tn denote the number of solutions of x2 = 1 in Sn the symmetric group of degree n.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 328 - 334
Copyright
Copyright © Canadian Mathematical Society 1951

References

1 We should like to thank Dr. W. R. Scott who carefully checked the proof of Theorem 5.