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Sets of $ p$-powers as irreducible character degrees


Author: I. M. Isaacs
Journal: Proc. Amer. Math. Soc. 96 (1986), 551-552
MSC: Primary 20C15
MathSciNet review: 826479
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Abstract: In this paper it is shown that every finite set of powers of the prime $ p$ which contains $ {p^0} = 1$ occurs as the full set of degrees of the irreducible characters of some $ p$-group.


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

  • [1] I. M. Isaacs and D. S. Passman, A characterization of groups in terms of the degrees of their characters. II, Pacific J. Math. 24 (1968), 467–510. MR 0241524
  • [2] 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

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DOI: https://doi.org/10.1090/S0002-9939-1986-0826479-1
Article copyright: © Copyright 1986 American Mathematical Society