Capitulation of the 2‐class group of some cyclic number fields with large degree |
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| Authors: | Ali Mouhib |
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| Institution: | University Mohammed Ben Abdellah Fes, LSI, Sciences and Engineering Laboratory, Polydisciplinary Faculty of Taza, Taza‐Gare, Morocco |
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| Abstract: | We study the capitulation problem of the 2‐class group of some cyclic number fields M with large degree and 2‐class group isomorphic to  . Precisely, we give the structure of the Galois group of the maximal unramified 2‐extension over M. |
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| Keywords: | Class group unit group capitulation problem Iwasawa theory of ‐extensions 11R23 11R29 11R32 11R37 |
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