Book Review
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MathSciNet review:
1568062
Full text of review:
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Book Information:
Author:
D. J.\ Benson
Title:
Representations and cohomology, II: Cohomology of groups and modules
Additional book information:
Cambridge University Press, London and New York, 1991, x + 278 pp., US$59.95. ISBN 0-521-36135-4.
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
David Benson, Modular representation theory: new trends and methods, Lecture Notes in Mathematics, vol. 1081, Springer-Verlag, Berlin, 1984. MR 765858
D. J. Benson, Representations and cohomology. I, Cambridge Studies in Advanced Mathematics, vol. 30, Cambridge University Press, Cambridge, 1991. Basic representation theory of finite groups and associative algebras. MR 1110581
Roger W. Carter, Finite groups of Lie type, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1985. Conjugacy classes and complex characters; A Wiley-Interscience Publication. MR 794307
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
Leonard Evens, The cohomology of groups, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1991. Oxford Science Publications. MR 1144017
Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
Paul Fong (ed.), The Arcata Conference on Representations of Finite Groups, Proceedings of Symposia in Pure Mathematics, vol. 47, American Mathematical Society, Providence, RI, 1987. MR 933343, DOI 10.1090/pspum/047.1
Saunders Mac Lane, Origins of the cohomology of groups, Enseign. Math. (2) 24 (1978), no. 1-2, 1–29. MR 497280
G. O. Michler and C. M. Ringel (eds.), Representation theory of finite groups and finite-dimensional algebras, Progress in Mathematics, vol. 95, Birkhäuser Verlag, Basel, 1991. MR 1112154, DOI 10.1007/978-3-0348-8658-1
- [1]
- J. L. Alperin, Local representation theory, Cambridge Univ. Press, Cambridge, 1986. MR 860771 (87i:20002)
- [2]
- D. J. Benson, Modular representation theory: new trends and methods, Lecture Notes in Math., vol. 1081, Springer-Verlag, Berlin, 1984. MR 765858 (86g:20013)
- [3]
- -, Representations and cohomology, I: Basic representation theory of finite groups and associative algebras, Cambridge Univ. Press, Cambridge, 1991. MR 1110581 (92m:20005)
- [4]
- R. W. Carter, Finite groups of Lie type: conjugacy classes and complex characters, Wiley, New York, 1985. MR 794307 (87d:20060)
- [5]
- C. W. Curtis and I. Reiner, Methods of representation theory, vol. I, Wiley, New York, 1981; vol. II, 1987. MR 632548 (82i:20001)
- [6]
- L. Evens, The cohomology of groups, Clarendon Press, Oxford, 1991. MR 1144017 (93i:20059)
- [7]
- W. Feit, The representation theory of finite groups, North-Holland, Amsterdam, 1982. MR 661045 (83g:20001)
- [8]
- P. Fong (ed.), The Arcata conference on representations of finite groups, Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987. MR 933343 (88k:20002)
- [9]
- S. Mac Lane, Origins of the cohomology of groups, Enseign. Math. (2) 24 (1978), 1-29. MR 497280 (81j:01030)
- [10]
- G. O. Michler and C. M. Ringel (eds.), Representation theory of finite groups and finite-dimensional algebras, Progr. Math., vol. 95, Birkhäuser, Basel, 1991. MR 1112154 (91m:20005)
Review Information:
Reviewer:
J. E.\ Humphreys
Journal:
Bull. Amer. Math. Soc.
29 (1993), 262-265
DOI:
https://doi.org/10.1090/S0273-0979-1993-00412-9