Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1997; 12(1): 37-43

Printed March 1, 1997

Copyright © The Korean Mathematical Society.

Genus numbers and ambiguous class numbers of function fields

Pyung-Lyun Kang, Dong-Soo Lee

Chungnam National University, Chungnam National University

Abstract

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Some formulas of the genus numbers and the ambiguous ideal class numbers of function fields are given and these numbers are shown to be the same when the extension is cyclic.

Keywords: function field, genus number, ambiguous class number

MSC numbers: 11G09, 11G15, 11G58

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