Semi-local Units Modulo Cyclotomic Units

✍ Scribed by Takae Tsuji

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 241 KB
• Volume: 78
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1999.2398

✦ Synopsis

Fix an odd prime number p and an abelian field K. Let U (resp. C) be the projective limit of the semi-local units at p (resp. of the cyclotomic units) of each intermediate field of the cyclotomic Z p -extension K ÂK. We study the Galois module structure of UÂC. We generalize results of Iwasawa and Gillard and sharpen a result of Greither.