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On additive polynomials over a finite field

Published online by Cambridge University Press:  20 January 2009

R. W. K. Odoni
R. W. K. Odoni
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
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This paper is based on the interpretation of the ring of additive polynomials in one variable over a finite field Fq, as a maximal R-order inside a certain skew-field D, R being a principal ideal domain isomorphic to Fp[T]. The classical (1930's) structure theory of maximal orders in global fields is used to solve enumeration questions involving the iteration of members of Pages from .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 1 , February 1999 , pp. 1 - 16
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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