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M-groups and the supersolvable residual. (English) Zbl 0214.04303


MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20C15 Ordinary representations and characters
20F17 Formations of groups, Fitting classes
20E28 Maximal subgroups
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References:

[1] Brauer, R.: On the connection between the ordinary and modular characters of groups of finite order. Ann. of Math.42, 926-935 (1941). · Zbl 0061.03701
[2] Carter, R. W., and T. Hawkes: Thet-normalizers of a finite soluble group. Journal of Alg.5, 175-202 (1967). · Zbl 0167.29201
[3] Clifford, A. H.: Representations induced in an invariant subgroup. Ann. of Math.38, 533-550 (1937). · Zbl 0017.29705
[4] Curtis, C.W., and I. Reiner: Representation theory of finite groups and associative algebras. New York: Interscience 1962. · Zbl 0131.25601
[5] Dornhoff, L.:M-groups and 2-groups. Math. Z.100, 226-256 (1967). · Zbl 0157.35503
[6] Gallagher, P.X.: Group characters and normal Hall subgroups. Nagoya Math. J.21, 223-230 (1962). · Zbl 0114.25603
[7] Gasch?tz, W.: Zur Theorie der endlichen aufl?sbaren Gruppen. Math. Zeitschr.80, 300-305 (1963). · Zbl 0111.24402
[8] Hall, P., and G. Higman: On thep-length ofp-soluble groups and reduction theorems for Burnside’s problem. Proc. London Math. Soc.6, 1-42 (1956). · Zbl 0073.25503
[9] Higman, G.: Suzuki 2-groups: III. J. Math.7, 79-96 (1963). · Zbl 0112.02107
[10] Ito, N.: On a theorem of H. Blichfeldt. Nagoya Math. Journal5, 75-78 (1953).
[11] Lubeseder, V.: Construction of formations in finite soluble groups. (Thesis, University of Kiel 1965).
[12] Rigby, J.F.: Primitive linear groups containing a normal nilpotent subgroup larger than the centre of the group. J. London Math. Soc.35, 389-400 (1960). · Zbl 0096.25205
[13] Shult, E.: A note on splitting in solvable groups. Proc. Amer. Math. Soc.17, 318-320 (1966). · Zbl 0142.26002
[14] Scott, W.R.: Group theory. New Jersey: Prentice-Hall 1964. · Zbl 0126.04504
[15] Seitz, G.M.:M-Groups and the supersolvable residual. Thesis, University of Oregon (1968).
[16] Taketa, K.: ?ber die Gruppen, deren Darstellungen sich s?mtlich auf monomiale Gestalt transformieren lassen. Proc. Jap. Imp. Acad.6, 31-33 (1930). · JFM 56.0133.03
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