Class number in constant extensions of function fields

1972/01/01 by James R. C. Leitzel · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography

paper · doi:10.1090/s0002-9939-1972-0308085-0

Abstract

Let F/K be a function field in one variable of genus g having the finite field K as exact field of constants. Suppose p is a rational prime not dividing the class number of F. In this paper an upper bound is derived for the degree of a constant extension E necessary to have p occur as a divisor of the class number of the field E.

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