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The degree of Kummer extensions of number fields

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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… Click to show full 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 f...

Keywords: number; degree kummer; kummer extensions; extensions number; number fields

Journal Title: International Journal of Number Theory
Year Published: 2020

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