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Addendum: Π-principal hereditary orders (Nagoya Math. J. 32 (1968), 41–65)
1974
Nagoya mathematical journal
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LetRdenote a complete discrete rank one valuation ring of unequal characteristic, and letpdenote the characteristic of the residue class fieldR̅ofR. Consider the integral closureSofRin a finite Galois extensionKof the quotient fieldkofR. Recall (see Prop. 1.1 of [3]) that the inertia groupG0ofKoverkis a semi-direct productG0= J × Gp, whereJis a cyclic group of order relatively prime topandGpis a normalp-subgroup of G.
doi:10.1017/s0027763000024685
fatcat:zvqezlvilnfitph6mffzh7amcu