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A Theorem on Permutations of a Finite Field

Published online by Cambridge University Press:  20 November 2018

A. Bruen  and
B. Levinger
A. Bruen
Affiliation:
University of Western Ontario, London, Ontario
B. Levinger
Affiliation:
Colorado State University, Fort Collins, Colorado
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The purpose of this note is to give a new proof of a theorem of L. Carlitz [2] and R. McConnel [5]. The theorem is as follows:

THEOREM 1. Let F = GF(pn) be the finite field of order q = pn and let K — {x ∈ F|xd = 1} for some proper divisor d of q — 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 5 , October 1973 , pp. 1060 - 1065
Copyright
Copyright © Canadian Mathematical Society 1973

References

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