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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The conjugation representation and fusionless extensions
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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
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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