Book Review
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MathSciNet review:
1567705
Full text of review:
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Book Information:
Authors:
Charles W. Curtis and
Irving Reiner
Title:
Methods of representation theory with applications to finite groups and orders, vol. II
Additional book information:
John Wiley and Sons, New York, Chicester, Brisbane, Toronto, Singapore, 1987, xv+951 pp., $95.00. ISBN 0-471-88871-0.
[B1] W. Burnside, Theory of groups of finite order, First ed., Cambridge Univ. Press, Cambridge, 1897.
W. Burnside, On the reduction of a group of homogeneous linear substitutions of finite order, Acta Math. 28 (1904), no. 1, 369–387. MR 1555007, DOI 10.1007/BF02418392
[B3] W. Burnside, On the representation of a group of finite order as an irreducible group of linear substitutions and the direct establishment of the relations between the group-characteristics, Proc. London Math. Soc. (2) 1 (1903), 117-123.
W. Burnside, Theory of groups of finite order, Dover Publications, Inc., New York, 1955. 2d ed. MR 0069818
[B5] W. Burnside, On groups of order p, Proc. London Math. Soc. (2) 2 (1904), 432-437.
Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
Walter Feit and John G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775–1029. MR 166261
Ferdinand Georg Frobenius, Gesammelte Abhandlungen. Bände I, II, III, Springer-Verlag, Berlin-New York, 1968 (German). Herausgegeben von J.-P. Serre. MR 0235974
David M. Goldschmidt, A group theoretic proof of the $p^{a}q^{b}$ theorem for odd primes, Math. Z. 113 (1970), 373–375. MR 276338, DOI 10.1007/BF01110506
- [B1] W. Burnside, Theory of groups of finite order, First ed., Cambridge Univ. Press, Cambridge, 1897.
- [B2] W. Burnside, On the reduction of a group of homogeneous linear substitutions of finite order, Acta Math. 28 (1904), 369-387. MR 1555007
- [B3] W. Burnside, On the representation of a group of finite order as an irreducible group of linear substitutions and the direct establishment of the relations between the group-characteristics, Proc. London Math. Soc. (2) 1 (1903), 117-123.
- [B4] W. Burnside, Theory of groups of finite order, Second ed., Cambridge Univ. Press, 1911; Dover ed., New York, 1955. MR 69818
- [B5] W. Burnside, On groups of order p, Proc. London Math. Soc. (2) 2 (1904), 432-437.
- [CR] C. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1962. MR 144979
- [FT] W. Feit and J. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775-1029. MR 166261
- [F] F. G. Frobenius, Gesammelte Abhandlungen. II, III, Springer-Verlag, Berlin, 1968. MR 235974
- [G] D. Goldschmidt, A group theoretic proof of the p, Math. Z. 113 (1970), 373-375. MR 276338
Review Information:
Reviewer:
Jon F. Carlson
Journal:
Bull. Amer. Math. Soc.
19 (1988), 484-488
DOI:
https://doi.org/10.1090/S0273-0979-1988-15709-6
