Some sporadic groups as Galois groups

H. Pahlings

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 97-107
  • ISSN: 0041-8994

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Pahlings, H.. "Some sporadic groups as Galois groups." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 97-107. <http://eudml.org/doc/108111>.

@article{Pahlings1988,
author = {Pahlings, H.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {inverse problem of Galois theory; sporadic simple groups; GAR-realizations},
language = {eng},
pages = {97-107},
publisher = {Seminario Matematico of the University of Padua},
title = {Some sporadic groups as Galois groups},
url = {http://eudml.org/doc/108111},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Pahlings, H.
TI - Some sporadic groups as Galois groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 97
EP - 107
LA - eng
KW - inverse problem of Galois theory; sporadic simple groups; GAR-realizations
UR - http://eudml.org/doc/108111
ER -

References

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  1. [1] G.V. Belyi, On extensions of the maximal cyclotomic field having a given classical Galois group, J. reine angew. Math., 341 (1983), pp. 147-156. Zbl0515.12008MR697314
  2. [2] J.H. Conway - R.T. Curtis - S.P. Norton - R.A. Parker - R.A. Wilson, An Atlas of finite groups, Oxford University Press (1984). Zbl0568.20001MR827219
  3. [3] B. Fischer, private communication. 
  4. [4] G. Hoyden-Siedersleben - B.H. Matzat, Realisierung sporadischer einfacher Gruppen als Galoisgruppen über Kreisteilungskörpern, J. Algebra, 101 (1986), pp. 273-286. Zbl0598.12006MR843705
  5. [5] B.H. Matzat, Realisierung endlicher Gruppen als Galoisgruppen, Manuscripta Math., 51 (1985), pp. 253-265. Zbl0574.12010MR788682
  6. [6] B.H. Matzat, Zum Einbettungsproblem der algebraischen Zahlentheorie mit nicht abelschem Kern, Invent. Math., 80 (1985), pp. 365-374. Zbl0567.12015MR788415
  7. [7] B.H. Matzat, Über das Umkehrproblem der Galoischen Theorie (Hauptvortrag auf dem XI. Österreichischen Mathematiker-Kongreß in Graz, 1985). 
  8. [8] D.C. Hunt, Rational rigidity and the sporadic groups, J. Algebra, 99 (1986) pp. 577-592. Zbl0598.12005MR837564
  9. [9] J. Moori, On the automorphism group of the group D4(2), J. Algebra, 80 (1983), pp. 216-225. Zbl0467.20017MR690714
  10. [10] J. Neubüser - H. PAHLINGS - W. PLESKEN, CAS; Design and use of a system for the handling of characters of finite groups, in: Computational Group Theory (ed. M. D. Atkinson), pp. 195-247, Academic Press, London, 1984. Zbl0546.20001MR760658
  11. [11] J.G. Thompson, Some finite groups which appear as Gal(L/K) where K ≤ ≤ Q(μn), J. Algebra, 89 (1984), pp. 437-499. Zbl0552.12004

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