Number fields ramified at one prime

John Jones, David P. Roberts

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

For G a finite group and p a prime, a G-p field is a Galois number field K with Gal(K/Q) ≅ G and disc(K) = ±pa for some a. We study the existence of G-p fields for fixed G and varying p.

Original languageEnglish (US)
Title of host publicationAlgorithmic Number Theory - 8th International Symposium, ANTS-VIII, Proceedings
Pages226-239
Number of pages14
DOIs
StatePublished - 2008
Event8th International Symposium on Algorithmic Number Theory, ANTS-VIII - Banff, Canada
Duration: May 17 2008May 22 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5011 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other8th International Symposium on Algorithmic Number Theory, ANTS-VIII
CountryCanada
CityBanff
Period5/17/085/22/08

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Jones, J., & Roberts, D. P. (2008). Number fields ramified at one prime. In Algorithmic Number Theory - 8th International Symposium, ANTS-VIII, Proceedings (pp. 226-239). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5011 LNCS). https://doi.org/10.1007/978-3-540-79456-1_15