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Bulletin of the American Mathematical Society

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Book Review

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Book Information:

Authors: F. Rudolf Beyl and Jürgen Tappe
Title: Group extensions, representations, and the Schur multiplicator
Additional book information: Lecture Notes in Math., Vol. 958, Springer-Verlag, Berlin, 1982, iv + 278 pp., $13.50. ISBN 3-5401-1954-X.

References [Enhancements On Off] (What's this?)

  • 1. Reinhold Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z. 38 (1934), no. 1, 375–416 (German). MR 1545456, 10.1007/BF01170643
  • 2. F. R. Beyl, Isoclinisms of group extensions and the Schur multiplicator, Groups--St. Andrews 1981 (C. M. Campbell and E. F. Robertson, eds.), London Math. Soc. Lecture Note Ser., Vol. 71, Cambridge, 1982, pp. 169-185.
  • 3. Robert L. Griess Jr., Schur multipliers of the known finite simple groups. II, The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979) Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980, pp. 279–282. MR 604594
  • 4. Heinz Hopf, Fundamentalgruppe und zweite Bettische Gruppe, Comment. Math. Helv. 14 (1942), 257–309 (German). MR 0006510
  • 5. Saunders Mac Lane, Origins of the cohomology of groups, Enseign. Math. (2) 24 (1978), no. 1-2, 1–29. MR 497280
  • 6. John Milnor, Introduction to algebraic 𝐾-theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. Annals of Mathematics Studies, No. 72. MR 0349811
  • 7. I. Schur, Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. Reine Angew. Math. 127 (1904), 20-50.
  • 8. I. Schur, Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. Reine Angew. Math. 132 (1907), 85-137.
  • 9. I. Schur, Über die Darstellungen der symmetrischen und alternierenden Gruppen durch gebrochene lineare Substitutionen, J. Reine Angew. Math. 139 (1911), 155-250.
  • 10. C. Soulé, K2 et le groupe de Brauer d'apres A. S. Merkurjev et A. A. Suslin, Sem. Bourbaki, Vol. 1982/83, Exp. 601.
  • 11. J. Wiegold, The Schur multiplier: an elementary approach, Groups—St. Andrews 1981 (St. Andrews, 1981) London Math. Soc. Lecture Note Ser., vol. 71, Cambridge Univ. Press, Cambridge-New York, 1982, pp. 137–154. MR 679156

Review Information:

Reviewer: Wilberd Van der Kallen
Journal: Bull. Amer. Math. Soc. 10 (1984), 330-333
DOI: https://doi.org/10.1090/S0273-0979-1984-15273-X