Literatur
Bieberbach, L.: Über einen Satz des HerrnC. Jordan in der Theorie der endlichen Gruppen linearer Substitutionen. Sitzber. Preuß. Akad. Wiss. 231–240 (1911).
Blichfeldt, H. F.: On the order of the linear homogeneous groups. I, II, III, IV. Trans. Am. Math. Soc.4, 387–397 (1903);5, 310–325 (1904);7, 523–529 (1906);12, 39–42 (1911).
—— On primitive homogeneous groups. Trans. Am. Math. Soc.6, 230–236 (1905).
—— Finite Collineation Groups. Chicago: University of Chicago Press 1917.
Brauer, R.: On groups whose order contains a prime number to the first power. I, II. Am. J. Math.64, 401–420, 421–440 (1942).
—— Some applications of the theory of blocks of characters of finite groups. I. J. Alg.1, 152–167 (1964).
-- Some results on finite groups whose order contains a prime to the first power. Erscheint im Nagoya J. Math.
—— andW. Feit: On the number of irreducible characters of finite groups in a given block. Proc. Nat. Acad. Sci. U.S.45, 361–365 (1959).
—— andH. S. Leonard jr.: On finite groups with an abelian Sylow group. Canad. J. Math.14, 436–450 (1962).
—— andC. Nesbitt: On the modular characters of groups. Ann. Math.42, 556–590 (1941).
—— andH. F. Tuan: On simple groups of finite order. I. Bull. Am. Math. Soc.51, 756–766 (1945).
Burnside, W.: Theory of groups of finite order. Second ed. Cambridge: Cambridge University Press 1911.
Clifford, A. H.: Representations induced in an invariant subgroup. Ann. Math.38, 533–550 (1937).
Curtis, C. W., andI. Reiner: Representation Theory of Finite Groups and Associative Algebras. New York, London: Interscience Publishers 1962.
Feit, W.: Groups which have a faithful representation of degree less thanp—1. Trans. Am. Math. Soc.112, 287–303 (1964).
—— andJ. G. Thompson: On groups which have a faithful representation of degree less than (p—1)/2. Pacific Math. J.4, 1257–1262 (1961).
Frobenius, G.: Über den vonL. Bieberbach gefundenen Beweis eines Satzes vonC. Jordan. Sitzber. Preuß. Akad. Wiss. 241–248 (1911).
Hayden, S.: On finite linear groups whose order contains a prime larger than the degree. Thesis. Harvard University 1963.
Jordan, C.: Mémoire sur les équations differentielles linéaires à intégrale algébrique. J. reine angew. Math.84, 89–215 (1878).
Schur, I.: Über eine Klasse von endlichen Gruppen linearer Substitutionen. Sitzber. Preuß. Akad. Wiss. 77–91 (1905).
-- Neue Begründung der Theorie der Gruppencharaktere. Sitzber. Preuß. Akad. Wiss. 406–432 (1905).
Tuan, H. F.: On groups whose orders contain a prime to the first power. Ann. Math.45, 110–140 (1944).
Zassenhaus, H.: Neuer Beweis der Endlichkeit der Klassenzahl bei unimodularer Äquivalenz endlicher ganzzahliger Substitutionsgruppen. Abhandl. math. Seminar hamburg. Univ.12, 276–288 (1938).
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Carl Ludwig Siegel zum siebzigsten Geburtstag gewidmet
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Brauer, R. Über endliche lineare Gruppen von Primzahlgrad. Math. Ann. 169, 73–96 (1967). https://doi.org/10.1007/BF01399532
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DOI: https://doi.org/10.1007/BF01399532