Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Exponents of class groups of real quadratic function fields (II)

Authors: Kalyan Chakraborty and Anirban Mukhopadhyay
Journal: Proc. Amer. Math. Soc. 134 (2006), 51-54
MSC (2000): Primary 11R58; Secondary 11R29
Published electronically: June 13, 2005
MathSciNet review: 2170542
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Abstract: Let $g$ be an even positive integer. We show that there are $\gg q^{l/g}/l^2$ polynomials $D\in\mathbb F_q[t]$with $\deg(D)\le l$ such that the ideal class group of the real quadratic extensions $\mathbb F_q(t,\sqrt D)$ have an element of order $g$.

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Additional Information

Kalyan Chakraborty
Affiliation: Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India

Anirban Mukhopadhyay
Affiliation: Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India

Keywords: Class group, real quadratic fields
Received by editor(s): March 26, 2004
Received by editor(s) in revised form: August 27, 2004
Published electronically: June 13, 2005
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2005 American Mathematical Society