Generalizations of $M$-groups
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- by Yakov Berkovich PDF
- Proc. Amer. Math. Soc. 123 (1995), 3263-3268 Request permission
Abstract:
In this note we prove some generalizations of Taketa’s theorem on solvability of M-groups.References
- Ya. G. Berkovich, Degrees of irreducible characters and normal $p$-complements, Proc. Amer. Math. Soc. 106 (1989), no. 1, 33–35. MR 952314, DOI 10.1090/S0002-9939-1989-0952314-X H. F. Blichfeldt, Finite collineation groups, Univ. of Chicago Press, Chicago, 1917.
- B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703, DOI 10.1007/978-3-642-64981-3
- I. M. Isaacs, Groups having at most three irreducible character degrees, Proc. Amer. Math. Soc. 21 (1969), 185–188. MR 236275, DOI 10.1090/S0002-9939-1969-0236275-4
- I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3263-3268
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-1995-1307496-X
- MathSciNet review: 1307496