Book Review
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Book Information:
Author:
Gabriel Navarro
Title:
Characters and blocks of finite groups
Additional book information:
Cambridge Univ. Press,
Cambridge,
1998,
x+287 pp.,
ISBN 0-521-59413-4,
$39.95$
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. L. Alperin, Richard Brauer, and Daniel Gorenstein, Finite groups with quasi-dihedral and wreathed Sylow $2$-subgroups, Trans. Amer. Math. Soc. 151 (1970), 1–261. MR 284499, DOI 10.1090/S0002-9947-1970-0284499-5
Richard Brauer, Representations of finite groups, Lectures on Modern Mathematics, Vol. I, Wiley, New York, 1963, pp. 133–175. MR 0178056
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
E. C. Dade, Blocks with cyclic defect groups, Ann. of Math. (2) 84 (1966), 20–48. MR 200355, DOI 10.2307/1970529
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 and Bhama Srinivasan, The blocks of finite general linear and unitary groups, Invent. Math. 69 (1982), no. 1, 109–153. MR 671655, DOI 10.1007/BF01389188
I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
Hirosi Nagao and Yukio Tsushima, Representations of finite groups, Academic Press, Inc., Boston, MA, 1989. Translated from the Japanese. MR 998775
10. G. R. Robinson, Arithmetical properties of blocks, in Algebraic Groups and Their Representations (R. W. Carter and J. Saxl, eds.), Kluwer, Dordrecht, 1998, pp. 213-232. CMP 99:08
- 1.
- J. L. Alperin, Local Representation Theory, Cambridge University Press, Cambridge, 1986. MR 0860771
- 2.
- J. L. Alperin, R. Brauer, and D. Gorenstein, Finite groups with quasi-dihedral and wreathed Sylow
-subgroups, Trans. A. M. S. 151 (1970), 1-261. MR 0284499
- 3.
- R. Brauer, Representations of finite groups, in Lectures in Modern Mathematics, I, Wiley, New York, 1963, pp. 133-175. MR 0178056
- 4.
- R. W. Carter, Finite Groups of Lie Type: Conjugacy Classes and Complex Characters, Wiley, Boston, 1985. MR 0794307
- 5.
- E. C. Dade, Blocks with cyclic defect groups, Ann. of Math. 84 (1966), 20-48. MR 0200355
- 6.
- W. Feit, The Representation Theory of Finite Groups, North-Holland, Amsterdam, 1982. MR 0661045
- 7.
- P. Fong and B. Srinivasan, The blocks of the finite general linear and unitary groups, Invent. Math. 69 (1982), 109-153. MR 0671655
- 8.
- I. M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, 1976. MR 0460423
- 9.
- H. Nagao and Y. Tsushima, Representations of Finite Groups, Academic Press, Boston, 1989. MR 0998775
- 10.
- G. R. Robinson, Arithmetical properties of blocks, in Algebraic Groups and Their Representations (R. W. Carter and J. Saxl, eds.), Kluwer, Dordrecht, 1998, pp. 213-232. CMP 99:08
Review Information:
Reviewer:
David Gluck
Affiliation:
Wayne State University
Email:
dgluck@math.wayne.edu
Journal:
Bull. Amer. Math. Soc.
37 (2000), 169-174
DOI:
https://doi.org/10.1090/S0273-0979-00-00854-5
Published electronically:
January 21, 2000
Review copyright:
© Copyright 2000
American Mathematical Society
