Sets of $p$-powers as irreducible character degrees
HTML articles powered by AMS MathViewer
- by I. M. Isaacs
- Proc. Amer. Math. Soc. 96 (1986), 551-552
- DOI: https://doi.org/10.1090/S0002-9939-1986-0826479-1
- PDF | Request permission
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
- 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 241524, DOI 10.2140/pjm.1968.24.467
- 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
Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 551-552
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-1986-0826479-1
- MathSciNet review: 826479