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\(\pi\)-groups that are \(M\)-groups. (English) Zbl 0234.20002


MSC:

20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20C15 Ordinary representations and characters
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References:

[1] Curtis, C. W., Reiner, J.: Representation theory of finite groups and associative algebras. New York: Interscience 1962. · Zbl 0131.25601
[2] Goldstein, L.J.: Analytic number theory. New Jersey: Prentice-Hall 1971. · Zbl 0226.12001
[3] Huppert, B.: Endliche Gruppen l. Berlin-Heidelberg-New York: Springer 1967. · Zbl 0217.07201
[4] Price, D.J.: A generalization ofM-groups. Thesis, University of Chicago, 1971.
[5] 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 · doi:10.1112/jlms/s1-35.4.389
[6] Seitz, G.M.:M-groups and the supersolvable residual. Math. Z.110, 101-122 (1969). · Zbl 0214.04303 · doi:10.1007/BF01124976
[7] Weiss, E.: Algebraic number theory. New York: McGraw-Hill 1963. · Zbl 0115.03601
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