On the characters of 𝑝-solvable groups

On the characters of $p$-solvable groups
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Trans. Amer. Math. Soc. 98 (1961), 263-284 Request permission

References

Richard Brauer, On the representation of a group of order $g$ in the field of the $g$-th roots of unity, Amer. J. Math. 67 (1945), 461–471. MR 14085, DOI 10.2307/2371973
Richard Brauer, Zur Darstellungstheorie der Gruppen endlicher Ordnung, Math. Z. 63 (1956), 406–444 (German). MR 75953, DOI 10.1007/BF01187950
Richard Brauer, Zur Darstellungstheorie der Gruppen endlicher Ordnung. II, Math. Z. 72 (1959/60), 25–46 (German). MR 108542, DOI 10.1007/BF01162934
Richard Brauer, Number theoretical investigations on groups of finite order, Proceedings of the international symposium on algebraic number theory, Tokyo & Nikko, 1955, Science Council of Japan, Tokyo, 1956, pp. 55–62. MR 0083490
R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556–590. MR 4042, DOI 10.2307/1968918
A. H. Clifford, Representations induced in an invariant subgroup, Ann. of Math. (2) 38 (1937), no. 3, 533–550. MR 1503352, DOI 10.2307/1968599

separable groups

P. Hall and Graham Higman, On the $p$-length of $p$-soluble groups and reduction theorems for Burnside’s problem, Proc. London Math. Soc. (3) 6 (1956), 1–42. MR 72872, DOI 10.1112/plms/s3-6.1.1
Masaru Osima, Notes on blocks of group characters, Math. J. Okayama Univ. 4 (1955), 175–188. MR 78364

Arithmetische Untersuchungen über endlicher Gruppen linearer Substitutionen

Über die Darstellung der endlicher Gruppen durch gebrochene lineare Substitutionen

Die Theorie der Gruppen von endlicher Ordnung