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Substitution Groups of Formal Power Series

Published online by Cambridge University Press:  20 November 2018

S. A. Jennings
S. A. Jennings*
Affiliation:
University of British Columbia
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In this paper we are concerned with the group of formal power series of the form

,

the coefficients being elements of a commutative ring R and the group operation being substitution. Little seems to be known of the properties of groups of this type, except in special cases, although groups of formal power series in several variables with complex coefficients have been investigated from a different point of view by Bochner and Martin (1, chap. I) and Gotô (2).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 325 - 340
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Bochner, S. and Martin, W. T., Several Complex Variables (Princeton, 1948).Google Scholar
2. Gotô, M., On the group of formal analytic transformations, Kodai Math. Sem. Reports, No. 3 (1950), 45–46.Google Scholar
3. Jacobson, N., Classes of restricted Lie algebras of characteristic p, II. Duke Math. J., 10 (1943), 107–121.Google Scholar