Ideal class groups of cyclotomic number fields II
classification
🧮 math.NT
keywords
classcyclotomicfieldsgroupsnumberbehaviourcapitulationcyclic
read the original abstract
We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large plus class numbers of cyclotomic fields. We also discuss capitulation of the minus part and the behaviour of p-class groups in cyclic ramified p-extensions.
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