On the Iwasawa -invariants of real abelian fields |
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Authors: | Takae Tsuji |
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Institution: | Department of Mathematics, Tokai University, Hiratsuka, Kanagawa, 259-1292, Japan |
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Abstract: | For a prime number and a number field , let denote the projective limit of the -parts of the ideal class groups of the intermediate fields of the cyclotomic -extension over . It is conjectured that is finite if is totally real. When is an odd prime and is a real abelian field, we give a criterion for the conjecture, which is a generalization of results of Ichimura and Sumida. Furthermore, in a special case where divides the degree of , we also obtain a rather simple criterion. |
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Keywords: | Iwasawa theory Greenberg's conjecture abelian fields |
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