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Abelian normal subgroups of M-groups. (English) Zbl 0512.20005


MSC:

20C15 Ordinary representations and characters
20D60 Arithmetic and combinatorial problems involving abstract finite groups
20E07 Subgroup theorems; subgroup growth
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References:

[1] Curtis, C.W., Reiner, I.: Methods of representation theory. New York-Chichester-Brisbane-Toronto: Wiley 1981 · Zbl 0469.20001
[2] Dade, E.C.: Normal subgroups ofM-groups need not beM-groups. Math. Z.133, 313-317 (1973) · Zbl 0261.20005 · doi:10.1007/BF01177871
[3] Dade, E.C.: Characters of groups with normal extra-special subgroups. Math. Z.152, 1-31 (1976) · Zbl 0325.20005 · doi:10.1007/BF01214219
[4] Dade, E.C.: Monomial characters and normal subgroups. Math. Z.178, 401-420 (1981) · Zbl 0461.20002 · doi:10.1007/BF01214878
[5] Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0217.07201
[6] Isaacs, I.M.: Thep-parts of character degrees inp-solvable groups. Pacific J. Math.36, 677-691 (1971) · Zbl 0231.20003
[7] Isaacs, I.M.: Character theory of finite groups. New York-San Francisco-London: Academic Press 1976 · Zbl 0337.20005
[8] Isaacs, I.M.: Primitive characters, normal subgroups andM-groups. Math. Z.177, 267-284 (1981) · Zbl 0475.20007 · doi:10.1007/BF01214205
[9] Isaacs, I.M.: Character correspondences in solvable groups. Advances in Math.43, 284-306 (1982) · Zbl 0487.20004 · doi:10.1016/0001-8708(82)90037-8
[10] Isaacs, I.M.: On the character theory of fully ramified sections. Rocky Mountain J. Math. (To appear.) · Zbl 0531.20003
[11] Taketa, K.: Über die monomialen Gruppen VII. Proc. Fac. Sci. Tokai Univ.14, 35-43 (1978) · Zbl 0427.20007
[12] Taketa, K.: Über die monomialen Gruppen VIII. Proc. Fac. Sci. Tokai Univ.16, 1-2 (1981) · Zbl 0478.20006
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