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Darrin Doud

314 TMCB Department of Mathematics Brigham Young University Provo, UT 84602

phone: (801)422-1204 fax: (801)422-0504 e-mail: doud@math.byu.edu

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Wild ramification in number field extensions of prime degree

Archiv der Mathematik 81 (2003) 646-649.

Abstract: We show that if L/K is a degree p extension of number fields which is wildly ramified at a prime P of K of residue characteristic p, then the ramification group of P (in the splitting field of L over K) are uniquely determined by the P-adic valuation of the discriminant of L/K.

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