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Kummer Extension

  • Definition: Let F be a subfield of C (the field of complex numbers) that contains the pth root of unity (where p is prime), and let K/F be a Galois extension of degree p. Then K is obtained by adjoining a pth root. In other words, K is generated over F by an element b, with b^p in F. Extensions of this type are often called Kummer extensions.

    Source: Algebra, second edition by Michael Artin

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