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The simplicity of the class group of the p-cyclotomic field

2024-10-25 09:07:10

时间: 15:30-17:30, Friday, November 15, 2024

地点: E10-215, Yungu Campus


报告人: Preda Mihai Mihailescu, University of Göttingen

主题: The simplicity of the class group of the p-cyclotomic field

摘要: In this lecture we briefly review developments in the cyclotomic theory from Kummer to nowadays. Then we derive three consequences from the truth of the Kummer-Vandiver Conjecture, including the structure of the p-primary part of the class group of the maximal subreal field of the p-th cyclotomic field and the strong Fermat equation. 

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