Ideal class groups and subgroups of real quadratic function fields

Details Ideal class groups and subgroups of real quadratic function fields Ideal class groups and subgroups of real quadratic function fields

2000-04-07

arxiv.org/abs/math/0004191v1

Mathematics

Number Theory

Scientific paper

Here we study algebraic function fields K, give necessary and sufficient
condition for the ideal class group $H(K)$ of any real quadratic function field
$K$ to have a cyclic subgroup of order $n$, and obtain eight series of such
fields $K$, with four of them NOT ERD-type or GERD-type.

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