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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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Book Review

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MathSciNet review: 1567498
Full text of review: PDF   This review is available free of charge.
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?)

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  • 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.
  • 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
  • Heinz Hopf, Fundamentalgruppe und zweite Bettische Gruppe, Comment. Math. Helv. 14 (1942), 257–309 (German). MR 6510, DOI 10.1007/BF02565622
  • Saunders Mac Lane, Origins of the cohomology of groups, Enseign. Math. (2) 24 (1978), no. 1-2, 1–29. MR 497280
  • John Milnor, Introduction to algebraic $K$-theory, Annals of Mathematics Studies, No. 72, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. MR 0349811
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    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.
  • 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