Circular distributions of finite order

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Motivated by the theory of circular distributions, we introduced a filtration on the global units attached to the maximal real subfield of a cyclotomic field and conjectured that the associated gradation is isomorphic, (as a Galois module) to the ideal class group. This conjecture depends on circular distributions of Coleman and a guess made by him. In this paper we show that the circular distributions of finite order cannot be constructed from cyclotomic p-units and their Galois conjugates.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalMathematical Research Letters
Volume13
Issue number1
DOIs
Publication statusPublished - 2006 Jan

Fingerprint

Galois
Ideal Class Group
Cyclotomic Fields
Unit
Cyclotomic
Subfield
Guess
Filtration
Isomorphic
Module

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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abstract = "Motivated by the theory of circular distributions, we introduced a filtration on the global units attached to the maximal real subfield of a cyclotomic field and conjectured that the associated gradation is isomorphic, (as a Galois module) to the ideal class group. This conjecture depends on circular distributions of Coleman and a guess made by him. In this paper we show that the circular distributions of finite order cannot be constructed from cyclotomic p-units and their Galois conjugates.",
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Circular distributions of finite order. / Seo, Soogil.

In: Mathematical Research Letters, Vol. 13, No. 1, 01.2006, p. 1-14.

Research output: Contribution to journalArticle

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