Circular distributions and a result of Solomon

✍ Scribed by Soogil Seo

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 183 KB
• Volume: 115
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2005.01.004

✦ Synopsis

In his paper (Invent. Math. 109 (1992) , Solomon finds an information on the prime factorization of an element coming from a circular unit 1-over the ideal class group of a real abelian number field L, where 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.