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Generalizations of Taketa's theorem on the solvability of $ M$-groups

Author: I. M. Isaacs
Journal: Proc. Amer. Math. Soc. 91 (1984), 192-194
MSC: Primary 20C15
MathSciNet review: 740168
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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 [Enhancements On Off] (What's this?)

  • [1] I. Martin Isaacs, Character theory of finite groups, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. Pure and Applied Mathematics, No. 69. MR 0460423
  • [2] 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

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Article copyright: © Copyright 1984 American Mathematical Society