The conjugation representation and fusionless extensions
HTML articles powered by AMS MathViewer
- by Edward Formanek PDF
- Proc. Amer. Math. Soc. 30 (1971), 73-74 Request permission
Abstract:
Let G be a finite group with center Z. G acts on itself by conjugation, and this induces a permutation representation P of $G/Z$. It has been conjectured that every complex irreducible representation of $G/Z$ occurs in P. This paper gives a counterexample to this conjecture.References
-
William Burnside, On the outer automorphisms of a group, Proc. London Math. Soc. (2) 11 (1913), 40-42.
- Richard L. Roth, On the conjugating representation of a finite group, Pacific J. Math. 36 (1971), 515–521. MR 289672
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 73-74
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-1971-0291312-5
- MathSciNet review: 0291312