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Sur la réalisation des extensions centrales du groupe alterné comme groupe de Galois sur \({\mathbb{Q}}\). (French) Zbl 0544.12005

Sémin. Théor. Nombres, Univ. Bordeaux I 1983-1984, Exp. No. 18, 9 p. (1984).
The paper contains a summary of the results obtained by the author in ”Sobre la realització de les extensions centrals del grup alternat com a grup de Galois sobre el cas dels racionals” (Thèse doctorale), Publ., Secc. Mat., Univ. Autòn. Barc. 27, 43-143 (1983); ”Polynomials over \({\mathbb{Q}}\) solving an embedding problem”, Ann. Inst. Fourier (to appear); ”On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}''\), Arch. Math. (to appear). [Cf. the preceding review, Zbl 0544.12004.]

MSC:

11R32 Galois theory
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
11S15 Ramification and extension theory
20F29 Representations of groups as automorphism groups of algebraic systems

Citations:

Zbl 0544.12004
Full Text: EuDML