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On the Size of the Wild Set

Published online by Cambridge University Press:  20 November 2018

Marius Somodi
Marius Somodi*
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A. e-mail: somodi@math.uni.edu
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Abstract

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To every pair of algebraic number fields with isomorphic Witt rings one can associate a number, called the minimum number of wild primes. Earlier investigations have established lower bounds for this number. In this paper an analysis is presented that expresses the minimum number of wild primes in terms of the number of wild dyadic primes. This formula not only gives immediate upper bounds, but can be considered to be an exact formula for the minimum number of wild primes.

Keywords

11E1211E8119F1511R29
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 1 , 01 February 2005 , pp. 180 - 203
Copyright
Copyright © Canadian Mathematical Society 2005

References

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