Number fields ramified at one prime

John Jones, David P. Roberts

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

5 Citations (Scopus)

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 publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages226-239
Number of pages14
Volume5011 LNCS
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)03029743
ISSN (Electronic)16113349

Other

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

Fingerprint

Number field
Galois field
Finite Group

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Jones, J., & Roberts, D. P. (2008). Number fields ramified at one prime. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5011 LNCS, 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

Number fields ramified at one prime. / Jones, John; Roberts, David P.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5011 LNCS 2008. p. 226-239 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5011 LNCS).

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

Jones, J & Roberts, DP 2008, Number fields ramified at one prime. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 5011 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5011 LNCS, pp. 226-239, 8th International Symposium on Algorithmic Number Theory, ANTS-VIII, Banff, Canada, 5/17/08. https://doi.org/10.1007/978-3-540-79456-1_15
Jones J, Roberts DP. Number fields ramified at one prime. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5011 LNCS. 2008. p. 226-239. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-79456-1_15
Jones, John ; Roberts, David P. / Number fields ramified at one prime. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5011 LNCS 2008. pp. 226-239 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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