Imaginary quadratic function fields with ideal class group of prime exponent

DOI10.1016/j.jnt.2016.09.021zbMath1420.11141OpenAlexW2553618897MaRDI QIDQ730042

Javier Diaz-Vargas, Victor Bautista-Ancona, José Alejandro Lara Rodríguez

Publication date: 23 December 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.021

zbMATH Keywords

function fieldsexponentideal class groupimaginary quadratic extension

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Computing quadratic function fields with high 3-rank via cubic field tabulation
• On the classification of algebraic function fields of class number three
• Quadratic function fields with exponent two ideal class group
• Reflection theorem for divisor class groups of relative quadratic function fields
• Quadratic function fields with invariant class group
• Ambiguous divisor classes in function fields
• Elliptic points of the Drinfeld modular groups
• Classification of function fields with class number three
• On unique factorization in certain rings of algebraic functions
• The exponent of class groups on congruence function fields