Generalizations of Taketa’s theorem on the solvability of $M$-groups
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- by I. M. Isaacs PDF
- Proc. Amer. Math. Soc. 91 (1984), 192-194 Request permission
Abstract:
The condition of monomiality on the irreducible characters of a finite group can be weakened somewhat, and yet results analogous to Taketa’s solvability theorem continue to hold.References
- 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
- Kiyosi Taketa, Über die Gruppen, deren Darstellungen sich sämtlich auf monomiale Gestalt transformieren lassen, Proc. Imp. Acad. Tokyo 6 (1930), no. 2, 31–33 (German). MR 1568284
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 192-194
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740168-1
- MathSciNet review: 740168