Generalizations of Taketa’s theorem on the solvability of 𝑀-groups

Isaacs, I. M.

doi:10.1090/S0002-9939-1984-0740168-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Generalizations of Taketa’s theorem on the solvability of $M$-groups
HTML articles powered by AMS MathViewer

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