A characterization of $M_ p$-groups
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- by Akihide Hanaki PDF
- Proc. Amer. Math. Soc. 121 (1994), 357-359 Request permission
Abstract:
We characterize finite groups, all irreducible characters of which over an algebraically closed field of characteristic p are monomial.References
- Paul Fong, Solvable groups and modular representation theory, Trans. Amer. Math. Soc. 103 (1962), 484–494. MR 139667, DOI 10.1090/S0002-9947-1962-0139667-5
- Tetsuro Okuyama, Module correspondence in finite groups, Hokkaido Math. J. 10 (1981), no. 3, 299–318. MR 634165, DOI 10.14492/hokmj/1381758078
- Alan E. Parks, A group-theoretic characterization of $M$-groups, Proc. Amer. Math. Soc. 94 (1985), no. 2, 209–212. MR 784164, DOI 10.1090/S0002-9939-1985-0784164-8
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 357-359
- MSC: Primary 20C20; Secondary 20F19
- DOI: https://doi.org/10.1090/S0002-9939-1994-1179587-7
- MathSciNet review: 1179587