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A characterization of $ M\sb p$-groups


Author: Akihide Hanaki
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
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Abstract: We characterize finite groups, all irreducible characters of which over an algebraically closed field of characteristic p are monomial.


References [Enhancements On Off] (What's this?)

  • [1] P. Fong, Solvable groups and modular representation theory, Trans. Amer. Math. Soc. 103 (1962), 484-494. MR 0139667 (25:3098)
  • [2] T. Okuyama, Module correspondence in finite groups, Hokkaido Math. J. 10 (1981), 299-318. MR 634165 (83h:20007)
  • [3] A. E. Parks, A group theoretic characterization of M-groups, Proc. Amer. Math. Soc. 94 (1985), 209-212. MR 784164 (86e:20010)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1179587-7
Article copyright: © Copyright 1994 American Mathematical Society

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