Tohoku Mathematical Journal
2005

December
SECOND SERIES VOL. 57, NO. 4

Tohoku Math. J.
57 (2005), 541-557

Title THAINE'S ANNIHILATOR

Author Koichi Tateyama

(Received December 1, 2003, revised September 24, 2004)
Abstract. The aim of this paper is to give, for any real cyclotomic field, elements of the group ring of the Galois group which annihilate the ideal class group. Our annihilators are constructed by using the prime decomposition of an element which is an analogy of the Gaussian sum. This method is essentially due to Thaine.

2000 Mathematics Subject Classification. Primary 11R29.

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