TY - JOUR
T1 - Circular distributions of finite order
AU - Seo, Soogil
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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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U2 - 10.4310/MRL.2006.v13.n1.a1
DO - 10.4310/MRL.2006.v13.n1.a1
M3 - Article
AN - SCOPUS:33645144413
VL - 13
SP - 1
EP - 14
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 1
ER -