Circular distributions and a result of Solomon

Research output: Contribution to journalArticle

Abstract

In his paper (Invent. Math. 109 (1992) 329-350), Solomon finds an information on the prime factorization of an element coming from a circular unit 1 - ζ over the ideal class group of a real abelian number field L, where ζ denotes a root of unity. Using this he obtains an annihilator of the p-Sylow subgroup of the subgroup of the ideal class group of L generated by the classes of prime ideals lying above p. We generalize this result to the circular distributions which has the axiomatic definition of Euler systems as its defining property.

Original languageEnglish
Pages (from-to)348-359
Number of pages12
JournalJournal of Number Theory
Volume115
Issue number2
DOIs
Publication statusPublished - 2005 Dec 1

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Ideal Class Group
L'Hôpital's Rule
Euler System
Sylow Subgroup
Annihilator
Prime Ideal
Roots of Unity
Number field
Subgroup
Denote
Generalise
Unit
Class

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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abstract = "In his paper (Invent. Math. 109 (1992) 329-350), Solomon finds an information on the prime factorization of an element coming from a circular unit 1 - ζ over the ideal class group of a real abelian number field L, where ζ denotes a root of unity. Using this he obtains an annihilator of the p-Sylow subgroup of the subgroup of the ideal class group of L generated by the classes of prime ideals lying above p. We generalize this result to the circular distributions which has the axiomatic definition of Euler systems as its defining property.",
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Circular distributions and a result of Solomon. / Seo, Soogil.

In: Journal of Number Theory, Vol. 115, No. 2, 01.12.2005, p. 348-359.

Research output: Contribution to journalArticle

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