Bulletin of the
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BKMS

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Bull. Korean Math. Soc. 2013; 50(4): 1357-1365

Printed July 1, 2013

https://doi.org/10.4134/BKMS.2013.50.4.1357

Copyright © The Korean Mathematical Society.

Class number divisibility of quadratic function fields in even characteristic

Sunghan Bae and Hwanyup Jung

KAIST, Chungbuk National University

Abstract

We find a lower bound on the number of real/inert imaginary/ramified imaginary quadratic extensions of the function field $\bF_{q}(t)$ whose ideal class groups have an element of a fixed order, where $q$ is a power of $2$.

Keywords: class number divisibility, quadratic function field, even character\-istic

MSC numbers: 11R18, 11R29, 11R58

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