This is a preview of subscription content, log in via an institution to check access.
References
Brauer, R.: On groups whose order contains a prime number to the first power I. Amer. J. Math.64, 401–420 (1942).
Brauer, R.: Some applications of the theory of blocks of characters of finite groups I. J. Algebra1, 152–167 (1964).
Curtis, C.W., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Interscience 1962.
Curtis, C.W.: The Steinberg character of a finite group with a (B, N)-pair. J. Algebra4, 433–441 (1966).
Dagger, S.W.: On the blocks of the Chevalley groups. J. London Math. Soc. (2)3, 21–29 (1971).
Feit, W.: Groups with a cyclic Sylow subgroup. Nagoya Math. J.27, 571–584 (1966).
Frobenius, G.: Über Gruppen des Gradesp oderp+1. Sitzber. Preuß. Akad. Wiss., (1902), 351–369.
Gorenstein, D.: Finite groups. New York: Harper and Row 1968.
Humphreys, J.E.: Defect groups for finite groups of Lie type. Math. Z.119, 149–152 (1971).
Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967.
Ito, N.: A note on transitive permutation groups of degreep=2q+1, p andq being prime numbers. J. Math. Kyoto. Univ.3-1, 111–113 (1963).
Richen, F.: Blocks of defect 0 of a split (B,N)-pair. J. Algebra21, 275–279 (1972).
Thompson, J.G.: Vertices and sources. J. Algebra6, 1–6 (1967).
Tuan, H.F.: On groups whose orders contain a prime to the first power. Ann. of Math.45, 110–140 (1944).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Richen, F.A. Groups with a Steinberg character. Math Z 128, 297–304 (1972). https://doi.org/10.1007/BF01111569
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01111569