CYLOTOMIC FUNCTION FIELDS OVER FINITE FIELDS WITH CLASS NUMBER THREE

Bilhan M., Buyruk D., ÖZBUDAK F.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.56, no.2, pp.559-578, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.4134/jkms.j180279
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.559-578
  • Middle East Technical University Affiliated: Yes

Abstract

We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.