| A note onRubin's methods of the use of two Euler systems |
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| 作者单位： | Department of Mathematics, Zhongshan University, Guangzhou 510275, China |
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| 摘 要： |
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| 关 键 词： | idéle group |
| 收稿时间： | 2000-01-30 |
A note on Rubin’s methods of the use of two Euler systems |
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| YIN Linsheng. A note on Rubin’s methods of the use of two Euler systems[J]. Science in China(Mathematics), 2000, 43(8): 792-794. DOI: 10.1007/BF02884177 |
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| Authors: | YIN Linsheng |
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| Affiliation: | Department of Mathematics, Zhongshan University, Guangzhou 510275, China |
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| Abstract: | Here we show that Rubin’s method of the use of two Euler systems to the proofs of Iwasawa main conjectures of the rational number field and of an imaginary quadratic field is only proper to these two kinds of number fields. We mainly use the properties of adéle ring and idéle group in class field theory to get the result. |
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| Keywords: | abelian extension ramified idéle group |
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