Abstract
The role played by characters in recent work on finite groups can be described as follows. Given rather incomplete information concerning a finite group G, we try to find the table of irreducible characters of G. If we succeed, we use the character table of G to obtain additional information on G. We may also try a similar procedure in order to show that finite groups with certain given properties do not exist.
Keywords
- Finite Group
- Conjugacy Class
- Irreducible Character
- Primitive Element
- Double Coset
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Download conference paper PDF
References
Richard Brauer, “Zur Darstellungstheorie der Gruppen endlicher Ordnung”, Math. Z. 63 (1955/56), 406–444. MR17,824.
Richard Brauer, “Zur Darstellungstheorie der Gruppen endlicher Ordnung. II”, Math. Z. 72 (1959), 25–46. MR21#7258.
Richard Brauer, “On blocks and sections in finite groups. I”, Amer. J. Math. 89 (1967), 1115–1136. MR36#2716.
Richard Brauer, “On blocks and sections in finite groups, II”, Amer. J. Math. 90 (1968), 895–925. MR39#5713.
Charles W. Curtis, Irving Reiner, Representation theory of finite groups and associative algebras, (Pure and Appl. Math., 11. Interscience [John Wiley & Sons], New York, London, 1962). MR26#2519.
Larry Dornhoff, Group representation theory, Part B: Modular representation theory,(Pure and Appl. Math., 7. Marcel Dekker, New York, 1972). Zbl. 236.20004.
P. Fong, “On the characters of p-solvable groups”, Trans. Amer. Math. Soc. 98 (1961), 263–284. MR22#11052.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Brauer, R. (1974). On the Structure of Blocks of Characters of Finite Groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21571-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-662-21571-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06845-7
Online ISBN: 978-3-662-21571-5
eBook Packages: Springer Book Archive
