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- W2033513615 abstract "Let n ≥ 1 and μ i ≥ 0 for 1 ≤ i ≤ n . We prove that to each group G = Z 2 ν 1 μ 1 × ⋯ × Z 2 ν n μ n with 1 = ν 1 < ⋯ < ν n and n − 2 ≤ μ n there exists a field K of characteristic zero such that G can be realized as Galois group Gal ( N K ) of exactly one normal extension N of K . We also show that K can be chosen algebraic over Q if and only if μ 2 + ⋯ + μ n − 1 ≤ μ n . Moreover, we give a complete description of the finitely generated pro-2-groups which occur as Galois groups of maximal abelian 2-extensions of (infinite) algebraic number fields." @default.
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- W2033513615 date "1992-01-01" @default.
- W2033513615 modified "2023-09-30" @default.
- W2033513615 title "Unique realizability of finite abelian 2-groups as Galois groups" @default.
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- W2033513615 doi "https://doi.org/10.1016/0022-314x(92)90025-k" @default.
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