On pro-p-extensions of number fields with restricted ramification over intermediate Zp-extensions
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DOI: 10.1016/j.jnt.2020.12.002
Abstract: Abstract We consider pro-p-extensions of a number field in which the ramification and decomposition are restricted over an intermediate Z p -extension. For such a maximal pro-p-extension under a certain restriction condition, we obtain a… read more here.
Keywords: number; ramification; fields restricted; pro extensions ... See more keywords
The degree of Kummer extensions of number fields
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DOI: 10.1142/s1793042121500263
Abstract: Let K be a number field, and let α1,…,αr be elements of K× which generate a subgroup of K× of rank r. Consider the cyclotomic-Kummer extensions of K given by K(ζn,α1n1,…,αrnr), where ni divides n… read more here.
Keywords: number; degree kummer; kummer extensions; extensions number ... See more keywords