Exponents of class groups of real quadratic function fields

Chakraborty, Kalyan; Mukhopadhyay, Anirban

doi:10.1090/S0002-9939-04-07269-7

Exponents of class groups of real quadratic function fields
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by Kalyan Chakraborty and Anirban Mukhopadhyay PDF

Proc. Amer. Math. Soc. 132 (2004), 1951-1955 Request permission

Abstract:

We show that there are $\gg q^{l/(2g)}$ polynomials $D\in \mathbb {F}_q[t]$ with $\deg (D)\le l$ such that the ideal class group of the real quadratic extensions $\mathbb {F}_q(t,\sqrt D)$ has an element of order $g$.

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