Circular distributions and a result of Solomon |
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Authors: | Soogil Seo |
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Institution: | School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri2dong, Dongdaemun-gu, Seoul 130-722, Republic of Korea |
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Abstract: | In his paper (Invent. Math. 109 (1992) 329-350), Solomon finds an information on the prime factorization of an element coming from a circular unit 1-ζ over the ideal class group of a real abelian number field L, where ζ 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. |
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Keywords: | 11R27 11R29 |
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