Nonic 3-adic fields

John W. Jones; David P. Roberts

doi:10.1007/978-3-540-24847-7_22

Nonic 3-adic fields

John W. Jones, David P. Roberts

Research output: Chapter in Book/Report/Conference proceeding › Chapter

13 Scopus citations

Abstract

We compute all nonic extensions of Q₃ and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

Original language	English (US)
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Duncan Buell
Publisher	Springer Verlag
Pages	293-308
Number of pages	16
ISBN (Print)	3540221565, 9783540221562
DOIs	https://doi.org/10.1007/978-3-540-24847-7_22
State	Published - 2004

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3076
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Access

10.1007/978-3-540-24847-7_22

Fingerprint Dive into the research topics of 'Nonic 3-adic fields'. Together they form a unique fingerprint.

Cite this

Jones, J. W., & Roberts, D. P. (2004). Nonic 3-adic fields. In D. Buell (Ed.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 293-308). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3076). Springer Verlag. https://doi.org/10.1007/978-3-540-24847-7_22

Nonic 3-adic fields. / Jones, John W.; Roberts, David P.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Duncan Buell. Springer Verlag, 2004. p. 293-308 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3076).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Jones, JW & Roberts, DP 2004, Nonic 3-adic fields. in D Buell (ed.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3076, Springer Verlag, pp. 293-308. https://doi.org/10.1007/978-3-540-24847-7_22

Jones JW, Roberts DP. Nonic 3-adic fields. In Buell D, editor, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2004. p. 293-308. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-24847-7_22

Jones, John W. ; Roberts, David P. / Nonic 3-adic fields. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Duncan Buell. Springer Verlag, 2004. pp. 293-308 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inbook{17f06b1aa6ac41a583c85df353327ad7,

title = "Nonic 3-adic fields",

abstract = "We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.",

author = "Jones, {John W.} and Roberts, {David P.}",

year = "2004",

doi = "10.1007/978-3-540-24847-7_22",

language = "English (US)",

isbn = "3540221565",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "293--308",

editor = "Duncan Buell",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

}

TY - CHAP

T1 - Nonic 3-adic fields

AU - Jones, John W.

AU - Roberts, David P.

PY - 2004

Y1 - 2004

N2 - We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

AB - We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

UR - http://www.scopus.com/inward/record.url?scp=35048869093&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35048869093&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-24847-7_22

DO - 10.1007/978-3-540-24847-7_22

M3 - Chapter

AN - SCOPUS:35048869093

SN - 3540221565

SN - 9783540221562

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 293

EP - 308

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

A2 - Buell, Duncan

PB - Springer Verlag

ER -