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Darrin Doud

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

phone: (801)422-1204 fax: (801)422-0504 e-mail:

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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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Cited By

• Darrin Doud, Wildly ramified Galois representations and a generalization of a conjecture of Serre, Experimental Mathematics, 14:1 (2005), 119--126.
• Meghan DeWitt and Darrin Doud, Finding Galois representations corresponding to certain Hecke eigenclasses, Int. J. Number Theory, 5 (2009), 1--11.
• Chandan Singh Dalawat, Serre's "formule de masse" in prime degree, Monatshefte fur Mathematik, 166 (2011), 73-92.
• Jeffrey A. Castaneda and Quingquan Wu, The Ramification group filtrations of certain function field extensions, Pacific J. Math. 276 (2015), 309-320.