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Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L(α n ) where α ∈ L¤. We show that if NL=F (��) ∈ Ln ∩ F , and [N : L]=
m, then G(N=F ) ≫= Dm or generalized quaternion group whether NL=F (��) ∈ F n or 62F n, respectively.
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참고문헌 (4)
참고문헌 신청
/ 1987 / On the corestriction of central simple algebras j.-p. tig (l) : 267 ~ 274
/ 1995 / The corestrictions of valued division algebras of Henselian Fields I 170 : 53 ~ 81
/ 1996. / Groups as Galois Groups: An Introduction, Cambridge Univ. Press, Cambridge, England
/ 1999. / Inverse Galois Theory, Springer,
/ 1995 / The corestrictions of valued division algebras of Henselian Fields I 170 : 53 ~ 81
/ 1996. / Groups as Galois Groups: An Introduction, Cambridge Univ. Press, Cambridge, England
/ 1999. / Inverse Galois Theory, Springer,
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