Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(2): 223-231

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.223

Copyright © The Korean Mathematical Society.

$4$-ranks of class groups of quadratic extensions of certain quadratic function fields

Sunghan Bae and Pyung-Lyun Kang

KAIST, Chungnam National University

Abstract

We obtain some density results for the 4-ranks of class groups of quadratic extensions of quadratic function fields analogous to those results of F. Gerth in the classical case.

Keywords: 4-rank of class group, quadratic function field

MSC numbers: 11R58

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