Book Review
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MathSciNet review:
1567664
Full text of 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.
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, DOI 10.1017/CBO9780511623592
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, $\Bbb {ATLAS}$ 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
Charles W. Curtis and Irving Reiner, Methods of representation theory. Vol. I, Pure and Applied Mathematics, John Wiley & Sons, Inc., New York, 1981. With applications to finite groups and orders. MR 632548
Everett C. Dade, The equivalence of various generalizations of group rings and modules, Math. Z. 181 (1982), no. 3, 335–344. MR 678889, DOI 10.1007/BF01161981
5. L. Dornhoff, Group representation theory, Parts A and B, Marcel Dekker, New York, 1961 and 1962.
Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
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.
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, Providence, R.I., 1956. MR 0081264
P. Landrock, Finite group algebras and their modules, London Mathematical Society Lecture Note Series, vol. 84, Cambridge University Press, Cambridge, 1983. MR 737910, DOI 10.1017/CBO9781107325524
Hans Opolka, Projective representations of finite groups in cyclotomic fields, Pacific J. Math. 94 (1981), no. 1, 207–210. MR 625819
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, DOI 10.1016/j.apal.2010.01.002
- 1.
- J. L. Alperin, Local representation theory, Cambridge Univ. Press, Cambridge, 1986. MR 0860771
- 2.
- J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of finite groups, Clarendon Press, Oxford, 1985. MR 827219
- 3.
- C. W. Curtis and I. Reiner, Methods of representation theory with applications to finite groups and orders, vol. 1, Wiley, New York, 1981. MR 632548
- 4.
- E. C. Dade, The equivalence of various generalizations of group rings and modules, Math. Z. 181 (1982), 335-344. MR 678889
- 5.
- L. Dornhoff, Group representation theory, Parts A and B, Marcel Dekker, New York, 1961 and 1962.
- 6.
- W. Feit, The representation theory of finite groups, North-Holland, Amsterdam, 1982. MR 661045
- 7.
- D. Gorenstein, Finite simple groups, Plenum, New York and London, 1982. MR 698782
- 8.
- J. F. Humphreys, Review no. 86m:20014, Math. Reviews, 1986.
- 9.
- B. Huppert, Endliche Gruppen. I, Grundlehren Math. Wiss. Band 134, Springer-Verlag, Berlin and New York, 1967. MR 224703
- 9a. N. Jacobson, The structure of rings, Colloquium Publications, vol. 37, Amer. Math. Soc., Providence, R. I., 1956. MR 81264
- 10.
- P. Landrock, Finite group algebras and their modules, Cambridge Univ. Press, Cambridge, 1983. MR 737910
- 11.
- H. Opolka, Projective representations of finite groups in cyclotomic fields, Pacific J. Math. 94 (1981), 207-210. MR 625819
- 12.
- W. F. Reynolds, Noncommutators and the number of projective characters of a finite group, Proc. Summer Inst. Representations of Finite Groups and Related Topics (Arcata, 1986), Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, R. I., 1988. MR 933401
12. W. F. Reynolds, Noncommutators and the number of projective characters of a finite group, Proc. Summer Inst. Representations of Finite Groups and Related Topics (Arcata, 1986), Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, R. I., 1988.
Review Information:
Reviewer:
William F. Reynolds
Journal:
Bull. Amer. Math. Soc.
18 (1988), 83-87
DOI:
https://doi.org/10.1090/S0273-0979-1988-15611-X
