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On the Iwasawa invariants of certain non-cyclotomic ℤ2-extensions |
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| Authors: | Tsuyoshi Itoh Yasushi Mizusawa Shinichi Kiyofuji |
| Affiliation: | (1) Department of Mathematical Sciences, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan;(2) College of Science and Engineering, Ritsumeikan University, 1-1-1 Noji Higashi, Kusatsu, Shiga 525-8577, Japan;(3) Department of Mathematics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo 102-8554, Japan;(4) Fujitsu Advanced Solutions, 1-2-4 Shinkoyasu, Kanagawa-ku, Yokohama Kanagawa, 221-0013, Japan |
| Abstract: | Let k be an imaginary quadratic field in which the prime 2 splits. We consider the Iwasawa invariants of a certain non-cyclotomic ℤ2-extension of k and give some sufficient conditions for the vanishing of λ- and μ-invariants. |
| Keywords: | 11R23 |
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