Weber’s Class Number One Problem
Let p and ℓ be prime numbers. In this paper, we consider the ℓ-indivisibility of the class numbers of the intermediate fields in the cyclotomic Z p -extension of Q. Moreover, we study the class numbers of the intermediate fields in the composite of such extensions.
KeywordsPrime Number Galois Group Number Field Prime Divisor Class Number
The authors thank the organizers of Iwasawa 2012 for giving us the opportunity to talk. The authors also thank the referee for reading this paper carefully and offering several invaluable suggestions.
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