Algebra and Number Theory 1999
DOI: 10.1201/9780203903889.ch4
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Generic abelian crossed products and graded division algebras

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Cited by 3 publications
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“…In particular, if L is a Galois maximal subfield of A, then Gal(L/Z) ∼ = G.Proof. As recalled preceding Remark 2.1 above, by[BM, Th. 1.1], A = q(B) for some semiramified graded division algebra B with B 0 = N , Z(B) 0 = E,and q(Z(B)) = Z.…”
mentioning
confidence: 60%
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“…In particular, if L is a Galois maximal subfield of A, then Gal(L/Z) ∼ = G.Proof. As recalled preceding Remark 2.1 above, by[BM, Th. 1.1], A = q(B) for some semiramified graded division algebra B with B 0 = N , Z(B) 0 = E,and q(Z(B)) = Z.…”
mentioning
confidence: 60%
“…Let F = Z(B), a graded field. It was shown further in [BM,Th. 1.1] that q(F ) = Z, F 0 = E, and B is inertially split and semiramified over F with B 0 = N and Γ B = Z m .…”
Section: And the Multiplication Inmentioning
confidence: 75%
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“…This theorem compares to [BM00, Lemma 3.1 and Theorem 3.2]. In [BM00], Boulagouaz and Mounirh use semi-ramified, central graded division algebras to get their result on prime power central elements. It will be convenient for us to have the result over valued fields because we will apply (2.12) to extensions of Henselian valued fields.…”
Section: Corollary 212 Let (D V) ∈ D(f ) Be a Valued Division Algementioning
confidence: 72%