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

Acta Arithmetica (1995)

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

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top## How to cite

topTeresa 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

top- [1] T. Crespo, Explicit construction of Ãₙ-type fields, J. Algebra 127 (1989), 452-461. Zbl0704.11043
- [2] T. Crespo, Explicit construction of 2Sₙ Galois extensions, J. Algebra 129 (1990), 312-319. Zbl0704.11044
- [3] T. Crespo, Explicit solutions to embedding problems associated to orthogonal Galois representations, J. Reine Angew. Math. 409 (1990), 180-189. Zbl0696.12020
- [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. Zbl0793.12003
- [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] J. Quer, Liftings of projective 2-dimensional representations of Gal(ℚ̅|ℚ) and embedding problems, J. Algebra, to appear. Zbl0845.12003
- [8] J.-P. Serre, L'invariant de Witt de la forme Tr(x²), Comment. Math. Helv. 59 (1984), 651-676

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