Ideal class groups and subgroups of real quadratic function fields

KunPeng Wang; Xianke Zhang

Ideal class groups and subgroups of real quadratic function fields

Number Theory 2007-05-23 v1

Authors: KunPeng Wang , Xianke Zhang

Abstract

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.

Keywords

class number of quadratic fields

Cite

@article{arxiv.math/0004191,
  title  = {Ideal class groups and subgroups of real quadratic function fields},
  author = {KunPeng Wang and Xianke Zhang},
  journal= {arXiv preprint arXiv:math/0004191},
  year   = {2007}
}

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