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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
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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.
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- 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