Ideal class groups and subgroups of real quadratic function fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59093Here 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.Number TheoryIdeal class groups and subgroups of real quadratic function fieldstext