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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Gregory Karpilovsky
Title: Projective representations of finite groups
Additional book information: Marcel Dekker, Inc., New York and Basel, 1985, xiii + 644 pp., $89.75. ISBN 0-8247-7313-6.

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

  • 1. J. L. Alperin, Local representation theory, Cambridge Studies in Advanced Mathematics, vol. 11, Cambridge University Press, Cambridge, 1986. Modular representations as an introduction to the local representation theory of finite groups. MR 860771
  • 2. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219
  • 3. Charles W. Curtis and Irving Reiner, Methods of representation theory. Vol. I, John Wiley & Sons, Inc., New York, 1981. With applications to finite groups and orders; Pure and Applied Mathematics; A Wiley-Interscience Publication. MR 632548
  • 4. Everett C. Dade, The equivalence of various generalizations of group rings and modules, Math. Z. 181 (1982), no. 3, 335–344. MR 678889,
  • 5. L. Dornhoff, Group representation theory, Parts A and B, Marcel Dekker, New York, 1961 and 1962.
  • 6. Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
  • 7. Daniel Gorenstein, Finite simple groups, University Series in Mathematics, Plenum Publishing Corp., New York, 1982. An introduction to their classification. MR 698782
  • 8. J. F. Humphreys, Review no. 86m:20014, Math. Reviews, 1986.
  • 9. B. Huppert, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
    Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264
  • 10. P. Landrock, Finite group algebras and their modules, London Mathematical Society Lecture Note Series, vol. 84, Cambridge University Press, Cambridge, 1983. MR 737910
  • 11. Hans Opolka, Projective representations of finite groups in cyclotomic fields, Pacific J. Math. 94 (1981), no. 1, 207–210. MR 625819
  • 12. William F. Reynolds, Noncommutators and the number of projective characters of a finite group, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986) Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987, pp. 71–74. MR 933401

Review Information:

Reviewer: William F. Reynolds
Journal: Bull. Amer. Math. Soc. 18 (1988), 83-87