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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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${\text {PSL}}_2 \left ( q \right )$ and extensions of ${\mathbf {Q}}\left ( x \right )$
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by Helmut Völklein PDF
Bull. Amer. Math. Soc. 24 (1991), 145-153
References
    [RGTY] M. Aschbacher et al., (eds.), Proceedings of the Rutgers group theory year 1983/84, Cambridge Univ. Press, 1984. [CP] J. H. Conway and R. A. Parker, On the Hurwitz number of arrays of group elements, preprint.
  • M. Fried, Fields of definition of function fields and Hurwitz families—groups as Galois groups, Comm. Algebra 5 (1977), no. 1, 17–82. MR 453746, DOI 10.1080/00927877708822158
  • Mike Fried, Combinatorial computation of moduli dimension of Nielsen classes of covers, Graphs and algorithms (Boulder, CO, 1987) Contemp. Math., vol. 89, Amer. Math. Soc., Providence, RI, 1989, pp. 61–79. MR 1006477, DOI 10.1090/conm/089/1006477
  • [FrTh] M. D. Fried and J. G. Thompson, The Hurwitz monodromy group H(4) and modular curves, preprint.
  • Michael D. Fried and Helmut Völklein, The inverse Galois problem and rational points on moduli spaces, Math. Ann. 290 (1991), no. 4, 771–800. MR 1119950, DOI 10.1007/BF01459271
  • [F1] W. Feit, Rigidity of $\textrm {Aut}(\textrm {PSL}_ 2(p^ 2))$, $p\equiv ±2$ $(\textrm {mod}\,5),\;p\not = 2$, Proceedings of the Rutgers Group Theory Year 1983/84 (M. Aschbacher et. al., eds.), Cambridge Univ. Press, 1984.
  • Walter Feit, Some finite groups with nontrivial centers which are Galois groups, Group theory (Singapore, 1987) de Gruyter, Berlin, 1989, pp. 87–109. MR 981836
  • J. G. Thompson, Rational rigidity of $G_2(5)$, Proceedings of the Rutgers group theory year, 1983–1984 (New Brunswick, N.J., 1983–1984) Cambridge Univ. Press, Cambridge, 1985, pp. 321–322. MR 817265
  • Gudrun Hoyden-Siedersleben, Realisierung der Jankogruppen $J_1$ und $J_2$ als Galoisgruppen über $\textbf {Q}$, J. Algebra 97 (1985), no. 1, 17–22 (German). MR 812166, DOI 10.1016/0021-8693(85)90070-5
  • B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703, DOI 10.1007/978-3-642-64981-3
  • David C. Hunt, Rational rigidity and the sporadic groups, J. Algebra 99 (1986), no. 2, 577–592. MR 837564, DOI 10.1016/0021-8693(86)90047-5
  • Gunter Malle, Exceptional groups of Lie type as Galois groups, J. Reine Angew. Math. 392 (1988), 70–109. MR 965058, DOI 10.1515/crll.1988.392.70
  • Gunter Malle, Some unitary groups as Galois groups over $\textbf {Q}$, J. Algebra 131 (1990), no. 2, 476–482. MR 1058559, DOI 10.1016/0021-8693(90)90188-T
  • [Malle3] G. Malle, Realisierung von Gruppen PSL2(q) and SL2(q) als Galoisgruppen über Q, Diplomarbeit, Karlsruhe, 1984.
  • G. Malle and B. H. Matzat, Realisierung von Gruppen $\textrm {PSL}_2(\textbf {F}_p)$ als Galoisgruppen über $\textbf {Q}$, Math. Ann. 272 (1985), no. 4, 549–565 (German). MR 807290, DOI 10.1007/BF01455866
  • B. Heinrich Matzat, Konstruktive Galoistheorie, Lecture Notes in Mathematics, vol. 1284, Springer-Verlag, Berlin, 1987 (German). MR 1004467, DOI 10.1007/BFb0098324
  • B. Heinrich Matzat, Zwei Aspekte konstruktiver Galoistheorie, J. Algebra 96 (1985), no. 2, 499–531 (German). MR 810543, DOI 10.1016/0021-8693(85)90024-9
  • Kuang-yen Shih, On the construction of Galois extensions of function fields and number fields, Math. Ann. 207 (1974), 99–120. MR 332725, DOI 10.1007/BF01362150
  • [Th1] J. G. Thompson, Some finite groups which appear as $\textrm {Gal}\,L/K$, where $K\subseteq Q(µ\sbn )$, J. Algebra 89 (1984), 437-449.
  • J. G. Thompson, $\textrm {PSL}_3$ and Galois groups over $\textbf {Q}$, Proceedings of the Rutgers group theory year, 1983–1984 (New Brunswick, N.J., 1983–1984) Cambridge Univ. Press, Cambridge, 1985, pp. 309–319. MR 817264
  • J. G. Thompson, Primitive roots and rigidity, Proceedings of the Rutgers group theory year, 1983–1984 (New Brunswick, N.J., 1983–1984) Cambridge Univ. Press, Cambridge, 1985, pp. 327–350. MR 817267
  • J. G. Thompson, Rational rigidity of $G_2(5)$, Proceedings of the Rutgers group theory year, 1983–1984 (New Brunswick, N.J., 1983–1984) Cambridge Univ. Press, Cambridge, 1985, pp. 321–322. MR 817265
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 24 (1991), 145-153
  • MSC (1985): Primary 11G35, 12F10, 14E20, 14G05, 20B25, 20C25
  • DOI: https://doi.org/10.1090/S0273-0979-1991-15972-0
  • MathSciNet review: 1060151