Tohoku Mathematical Journal
2008
March
SECOND SERIES VOL. 60, NO. 1

Tohoku Math. J.
60 (2008), 135-147

Title ON GALOIS GROUPS OF ABELIAN EXTENSIONS OVER MAXIMAL CYCLOTOMIC FIELDS

Author Mamoru Asada

(Received February 2, 2007, revised June 29, 2007)
Abstract. We shall consider the maximal cyclotomic extension of a finite algebraic number field and its two abelian extensions, the maximal abelian extension and the maximal abelian extension with certain restricted ramification. We shall investigate the structure of these Galois groups with the action of the cyclotomic Galois group.

2000 Mathematics Subject Classification. Primary 11R18; Secondary 11R23.

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