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

Teresa Crespo

Acta Arithmetica (1995)

  • Volume: 70, Issue: 2, page 183-192
  • ISSN: 0065-1036

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Teresa Crespo. "Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group." Acta Arithmetica 70.2 (1995): 183-192. <http://eudml.org/doc/206745>.

@article{TeresaCrespo1995,
author = {Teresa Crespo},
journal = {Acta Arithmetica},
keywords = {central group extension; Galois embedding problems; symmetric group; Hilbert symbols; spinor norm},
language = {eng},
number = {2},
pages = {183-192},
title = {Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group},
url = {http://eudml.org/doc/206745},
volume = {70},
year = {1995},
}

TY - JOUR
AU - Teresa Crespo
TI - Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group
JO - Acta Arithmetica
PY - 1995
VL - 70
IS - 2
SP - 183
EP - 192
LA - eng
KW - central group extension; Galois embedding problems; symmetric group; Hilbert symbols; spinor norm
UR - http://eudml.org/doc/206745
ER -

References

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  1. [1] T. Crespo, Explicit construction of Ãₙ-type fields, J. Algebra 127 (1989), 452-461. Zbl0704.11043
  2. [2] T. Crespo, Explicit construction of 2Sₙ Galois extensions, J. Algebra 129 (1990), 312-319. Zbl0704.11044
  3. [3] T. Crespo, Explicit solutions to embedding problems associated to orthogonal Galois representations, J. Reine Angew. Math. 409 (1990), 180-189. Zbl0696.12020
  4. [4] T. Crespo, C₄-extensions of Sₙ as Galois groups, Math. Scand., to appear. 
  5. [5] T. Crespo, Central extensions of the alternating group as Galois groups, Acta Arith. 66(1994), 229-236. Zbl0793.12003
  6. [6] A. Fröhlich, Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants, J. Reine Angew. Math. 360 (1985), 84-123. Zbl0556.12005
  7. [7] J. Quer, Liftings of projective 2-dimensional representations of Gal(ℚ̅|ℚ) and embedding problems, J. Algebra, to appear. Zbl0845.12003
  8. [8] J.-P. Serre, L'invariant de Witt de la forme Tr(x²), Comment. Math. Helv. 59 (1984), 651-676 

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