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Primitive characters, normal subgroups, and M-groups. (English) Zbl 0475.20007


MSC:

20C15 Ordinary representations and characters
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References:

[1] Chubarov, I.A.: Monomial characters and subgroups. Uspehi Mat. Nauk33, 191-192 (1978). English translation: Russian Math. Surveys33, 143-144 (1978)
[2] Chubarov, I.A.: On normal subgroups ofM-groups. Trudy Sem. Petrovsk4, 249-256 (1978) · Zbl 0416.20003
[3] Dade, E.C.: Normal subgroups ofM-groups need not beM-groups. Math. Z.133, 313-317 (1973) · Zbl 0261.20005
[4] Dornhoff, L.:M-groups and 2-groups. Math. Z.100, 226-256 (1967) · Zbl 0157.35503
[5] Gajendragadkar, D.: A characteristic class of characters of finite ?-separable groups. J. Algebra59, 237-259 (1979) · Zbl 0426.20007
[6] Hall, P., Higman, G.: On thep-length ofp-solvable groups and reduction theorems for Burnside’s problem. Proc. London Math. Soc. (3)6, 1-42 (1956) · Zbl 0073.25503
[7] Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0217.07201
[8] Isaacs, I.M.: Fixed points and characters in groups with non-coprime operator groups. Canad. J. Math.20, 1315-1320 (1968) · Zbl 0165.34302
[9] Isaacs, I.M.: Characters of solvable and sumplectic groups. Amer. J. Math.95, 594-635 (1973) · Zbl 0277.20008
[10] Isaacs, I.M.: Character theory of finite groups. New York-San Francisco-London: Academic Press 1976 · Zbl 0337.20005
[11] Isaacs, I.M.: Lifting Brauer characters ofp-solvable groups II. J. Algebra51, 476-490 (1978) · Zbl 0374.20011
[12] Seitz, G.:M-groups and the supersolvable residual. Math. Z.110, 101-122 (1969) · Zbl 0214.04303
[13] van der Waall, R.W.: On the embedding of minimal non-M-groups. Indag. Math.36, 157-167 (1974) · Zbl 0279.20013
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