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On the degrees of Steinberg characters of Chevalley groups.(English)Zbl 0261.20033


MSC:

20G05 Representation theory for linear algebraic groups
20C30 Representations of finite symmetric groups
20D05 Finite simple groups and their classification
20G40 Linear algebraic groups over finite fields

Cite

References:

[1]Bannai, E.: Doubly Transitive Permutation Representations of the Finite Projective Special Linear GroupsPSL(n, q). Osaka J. Math.8, 437-445 (1971) ·Zbl 0253.20007
[2]Bannai, E.: On Some Subgroups of the GroupSp(2n,2). Proc. Japan Acad.47, 769-773 (1971) ·Zbl 0261.20035 ·doi:10.3792/pja/1195519830
[3]Chevalley, C.: Sur Certains Groupes Simples. Tôhuko math. J., II. Ser.7, 14-66 (1955) ·Zbl 0066.01503
[4]Curtis, C.W., Fossum, T.V.: On Centralizer Rings and Characters of Representations of Finite Groups. Math. Z.107, 402-406 (1968) ·Zbl 0185.06801 ·doi:10.1007/BF01110070
[5]Curtis, C.W., Iwahori, N., Kilmoyer, R.: Hecke Algebras and Characters of Parabolic Type of Finite Groups with BN pairs. Inst. haut. Étud. sci. Publ. math.40, 81-116 (1971) ·Zbl 0254.20004 ·doi:10.1007/BF02684695
[6]Green, J.A.: On the Steinberg Characters of Finite Chevalley Groups. Math. Z.117, 272-288 (1970) ·Zbl 0219.20003 ·doi:10.1007/BF01109848
[7]Matsumoto, H.: Générateurs et Relations des groupes de Weyl généralisés. C.r. Acad. Sci. Paris258, 3419-3422 (1964) ·Zbl 0128.25202
[8]Seitz, G.: Flag-transitive subgroups of Chevalley groups. Ann. of Math., II. Ser.97, 27-56 (1973) ·Zbl 0338.20052 ·doi:10.2307/1970876
[9]Solomon, L.: The Orders of the Finite Chevalley Groups. J. Algebra3, 376-393 (1966) ·Zbl 0151.02003 ·doi:10.1016/0021-8693(66)90007-X
[10]Tits, J.: Algebraic and abstract simple groups. Ann. of Math., II. Ser.80, 313-329 (1964) ·Zbl 0131.26501 ·doi:10.2307/1970394
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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