Circular distributions of finite order

Soogil Seo
2006 Mathematical Research Letters  
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.
doi:10.4310/mrl.2006.v13.n1.a1 fatcat:u4xrin43ujdhjagorxmzx3ufxe