ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Bibliography

  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
Pages:
183-192
Main language of publication
English
Received
1994-04-26
Published
1995
Exact and natural sciences