Open AccessExponents of class groups of real quadratic function fields (II)
Author(s) -
Kalyan Chakraborty,
Anirban Mukhopadhyay
Publication year - 2005
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-05-07953-0
Subject(s) - algorithm , artificial intelligence , computer science
Let g g be an even positive integer. We show that there are ≫ q l / g / l 2 \gg q^{l/g}/l^2 polynomials D ∈ F q [ t ] D\in \mathbb F_q[t] with deg ( D ) ≤ l \deg (D)\le l such that the ideal class group of the real quadratic extensions F q ( t , D ) \mathbb F_q(t,\sqrt D) have an element of order g g .