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On the maximal abelian \(\ell\)-extension of a finite algebraic number field with given ramification. (English) Zbl 0398.12003


MSC:

11R29 Class numbers, class groups, discriminants
11R18 Cyclotomic extensions
11R32 Galois theory
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References:

[1] A note on the p-rank of ideal class groups of finite algebraic number fields
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[24] Chap. IX pp 231–
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