The conjugation representation and fusionless extensions
Proc. Amer. Math. Soc. 30 (1971), 73-74
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Abstract: Let G be a finite group with center Z. G acts on itself by conjugation, and this induces a permutation representation P of . It has been conjectured that every complex irreducible representation of occurs in P. This paper gives a counterexample to this conjecture.
William Burnside, On the outer automorphisms of a group, Proc. London Math. Soc. (2) 11 (1913), 40-42.
L. Roth, On the conjugating representation of a finite group,
Pacific J. Math. 36 (1971), 515–521. MR
- William Burnside, On the outer automorphisms of a group, Proc. London Math. Soc. (2) 11 (1913), 40-42.
- Richard Roth, On the conjugating representation of a finite group, Pacific J. Math. 37 (to appear). MR 0289672 (44:6860)
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