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The Fixed Subring of Some Groups of Ring Automorphisms

Published online by Cambridge University Press:  20 November 2018

Mary Dowlen
Mary Dowlen*
Affiliation:
Mathematics Department Florida State University TallahasseeFL 32306
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Abstract

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Let Zm denote the ring of integers modulo an integer m > 1 and let G(Zm) be the group under composition of all Zm-automorphisms of Zm[X]. In this paper we determine Zm[X]G(zm) the subring of Zm[X] left fixed by elements of G(Zm).

Keywords

kw13B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 113 - 116
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Gilmer, R., R-automorphisms of R[X], Proc. London Math. Soc. (3) 18 (1968), 328-336.Google Scholar
2. Samuel, P., Groupes finis d'automorphismes des anneaux de séries formelles, Bull. Se. Math., 2e série, 90, 1966, 97-101.Google Scholar