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Addendum: Π-principal hereditary orders (Nagoya Math. J. 32 (1968), 41–65)

Published online by Cambridge University Press:  22 January 2016

Susan Williamson
Susan Williamson*
Affiliation:
Regis College
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Let R denote a complete discrete rank one valuation ring of unequal characteristic, and let p denote the characteristic of the residue class field R̅ of R. Consider the integral closure S of R in a finite Galois extension K of the quotient field k of R. Recall (see Prop. 1.1 of [3]) that the inertia group G0 of K over k is a semi-direct product G0 = J × Gp, where J is a cyclic group of order relatively prime to p and Gp is a normal p-subgroup of G.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 54 , July 1974 , pp. 215 - 216
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

[1] Curtis, C. and Reiner, I., Representation Theory of Finite Groups and Associative Algebras, Wiley (1962).Google Scholar
[2] Williamson, S., Crossed products and ramification, Nagoya Math. J. Vol. 28 (1966), pp. 85–111.CrossRefGoogle Scholar
[3] Williamson, S., II-principal hereditary orders, Nagoya Math. J. Vol. 32 (1968), pp. 41–65.Google Scholar