Book Review
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MathSciNet review:
1568167
Full text of review:
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Book Information:
Author:
Olaf Manz and Thomas R. Wolf
Title:
Representations of solvable groups
Additional book information:
\linebreak Cambridge University Press, New York, 1993, x+302 pp., US$39.95. ISBN\linebreak 0-521-39739-1.
T. R. Berger, Representation theory and solvable groups: length type problems, 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. 431–441. MR 604618
Bertram Huppert and Norman Blackburn, Finite groups. II, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 242, Springer-Verlag, Berlin-New York, 1982. AMD, 44. MR 650245
David Gluck and Thomas R. Wolf, Brauer’s height conjecture for $p$-solvable groups, Trans. Amer. Math. Soc. 282 (1984), no. 1, 137–152. MR 728707, DOI 10.1090/S0002-9947-1984-0728707-2
Bertram Huppert, Zweifach transitive, auflösbare Permutationsgruppen, Math. Z. 68 (1957), 126–150 (German). MR 94386, DOI 10.1007/BF01160336
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
I. M. Isaacs, Characters of solvable groups, 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. 377–384. MR 604607
I. M. Isaacs, Character correspondences in solvable groups, Adv. in Math. 43 (1982), no. 3, 284–306. MR 648802, DOI 10.1016/0001-8708(82)90037-8
Alexandre Turull, Fixed point free action with regular orbits, J. Reine Angew. Math. 371 (1986), 67–91. MR 859320, DOI 10.1515/crll.1986.371.67
- [1]
- T. R. Berger, Representation theory and solvable groups: Length type problems, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, RI, 1980, pp. 431-441. MR 604618 (82e:20024)
- [2]
- N. Blackburn and B. Huppert, Finite groups II, Springer-Verlag, Berlin, 1982. MR 650245 (84i:20001a)
- [3]
- D. Gluck and T. R. Wolf, Brauer's height conjecture for p-solvable groups, Trans. Amer. Math. Soc. 282 (1984), 137-152. MR 728707 (85i:20014)
- [4]
- B. Huppert, Zweifach transitive auflösbare Permutationsgruppen, Math. Z. 68 (1957), 126-150. MR 0094386 (20:904)
- [5]
- I. M. Isaacs, Character theory of finite groups, Academic Press, New York, 1976. MR 0460423 (57:417)
- [6]
- -, Characters of solvable groups, Proc Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, RI, 1980, pp. 377-384. MR 604607 (82a:20023)
- [7]
- -, Character correspondences in solvable groups, Adv. Math. 43 (1982), 284-306. MR 648802 (83i:20007)
- [8]
- A. Turull, Fixed point free actions with regular orbits, J. Reine Angew. Math. 371 (1986), 67-91. MR 859320 (88c:20029)
Review Information:
Reviewer:
David Gluck
Journal:
Bull. Amer. Math. Soc.
32 (1995), 254-257
DOI:
https://doi.org/10.1090/S0273-0979-1995-00572-0
