The Gauss higher relative class number problem
classification
🧮 math.NT
math.KT
keywords
classfieldshighernumberrelativeabelianadicassuming
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Assuming the 2-adic Iwasawa main conjecture, we find all CM fields with higher relative class number at most 16: there are at least 31 and at most 34 such fields, and exactly one is not abelian.
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