Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group

• Autorzy: Teresa Crespo
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 2
• Strony: 183-192

Daty

wydano

1995

otrzymano

1994-04-26

Twórcy

autor

Teresa Crespo

• Departament d'Àlgebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain

Bibliografia

• [1] T. Crespo, Explicit construction of Ãₙ-type fields, J. Algebra 127 (1989), 452-461.
• [2] T. Crespo, Explicit construction of 2Sₙ Galois extensions, J. Algebra 129 (1990), 312-319.
• [3] T. Crespo, Explicit solutions to embedding problems associated to orthogonal Galois representations, J. Reine Angew. Math. 409 (1990), 180-189.
• [4] T. Crespo, C₄-extensions of Sₙ as Galois groups, Math. Scand., to appear.
• [5] T. Crespo, Central extensions of the alternating group as Galois groups, Acta Arith. 66(1994), 229-236.
• [6] A. Fröhlich, Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants, J. Reine Angew. Math. 360 (1985), 84-123.
• [7] J. Quer, Liftings of projective 2-dimensional representations of Gal(ℚ̅|ℚ) and embedding problems, J. Algebra, to appear.
• [8] J.-P. Serre, L'invariant de Witt de la forme Tr(x²), Comment. Math. Helv. 59 (1984), 651-676