The characters of the finite general linear groups

The characters of the finite general linear groups
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by J. A. Green

Trans. Amer. Math. Soc. 80 (1955), 402-447

DOI: https://doi.org/10.1090/S0002-9947-1955-0072878-2

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References

Richard Brauer, A characterization of the characters of groups of finite order, Ann. of Math. (2) 57 (1953), 357–377. MR 53942, DOI 10.2307/1969864

On the modular representations of groups of finite order

Über Relationen zwischen den Charakteren einer Gruppe und denen ihrer Untergruppen

Über die Komposition der Charaktere einer Gruppe

Über die Charaktere der Symmetrischen Gruppe

A contribution to the theory of groups of prime-power order

Abelian

groups and related modules

Herbert E. Jordan, Group-Characters of Various Types of Linear Groups, Amer. J. Math. 29 (1907), no. 4, 387–405. MR 1506021, DOI 10.2307/2370015
Dudley E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, Oxford University Press, New York, 1940. MR 0002127

Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen

Andreas Speiser, Die Theorie der Gruppen von endlicher Ordnung, Dover Publications, New York, N.Y., 1945 (German). MR 0015383
Robert Steinberg, The representations of $\textrm {GL}(3,q), \textrm {GL} (4,q), \textrm {PGL} (3,q)$, and $\textrm {PGL} (4,q)$, Canad. J. Math. 3 (1951), 225–235. MR 41851, DOI 10.4153/cjm-1951-027-x
R. Steinberg, A geometric approach to the representations of the full linear group over a Galois field, Trans. Amer. Math. Soc. 71 (1951), 274–282. MR 43784, DOI 10.1090/S0002-9947-1951-0043784-0