Let k_∞ be the cyclotomic Zₚ-extension field of an algebraic number field k. Moreover, we take a Zₚ-extension K_∞ over k_∞. In this paper, we study the behavior of the p-part of the class number of certain intermediate fields of K_∞ /k.
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Tsuyoshi Itoh (2024) studied this question.
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