Result: Subgroups of Class Groups of Algebraic Quadratic Function Fields: Subgroups of class groups of algebraic quadratic function fields

Title:
Subgroups of Class Groups of Algebraic Quadratic Function Fields: Subgroups of class groups of algebraic quadratic function fields
Authors:
Xianke Zhang, Kunpeng Wang
Source:
Chinese Annals of Mathematics. 24:315-322
Publisher Information:
World Scientific Pub Co Pte Lt, 2003.
Publication Year:
2003
Subject Terms:
Quadratic extensions, Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Pell equation, continued fractions, 0101 mathematics, quadratic function fields, 01 natural sciences, class group
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0252-9599
DOI:
10.1142/s0252959903000311
Access URL:
http://cds.cern.ch/record/576137/files/sis-2002-357.pdf
http://www.worldscientific.com/doi/full/10.1142/S0252959903000311
Accession Number:
edsair.doi.dedup.....b1ffa98fc34527fcb65a0b3b644a094e
Database:
OpenAIRE

Further Information

The authors construct quadratic function fields in one variable over finite fields whose class group contains a cyclic subgroup of a given order \(n\). The main tools are continued fractions and Pell equations over the rational function field.