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The prime at infinity and the rank of the class group in global function fields

✍ Scribed by Allison M. Pacelli

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
152 KB
Volume
116
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this paper we construct, for any integers m and n, and 2 g m -1, infinitely many function fields K of degree m over F(T ) such that the prime at infinity splits into exactly g primes in K and the ideal class group of K contains a subgroup isomorphic to (Z/nZ) m-g . This extends previous results of the author and Lee for the cases g = 1 and g = m.

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