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Brigham Young University
Math Department

Darrin Doud

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


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.



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.

Maintained by Darrin Doud.

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