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

Susan Williamson
1974 Nagoya mathematical journal  
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