The conjugation representation and fusionless extensions-Reference-Cited by-同舟云学术

The conjugation representation and fusionless extensions

Published:1971 Issue:1 Volume:30 Page:73-74
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Formanek Edward

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 G/Z . It has been conjectured that every complex irreducible representation of G / Z G/Z occurs in P. This paper gives a counterexample to this conjecture.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-030-01/S0002-9939-1971-0291312-5/S0002-9939-1971-0291312-5.pdf

Reference2 articles.

1. William Burnside, On the outer automorphisms of a group, Proc. London Math. Soc. (2) 11 (1913), 40-42.

2. On the conjugating representation of a finite group;Roth, Richard L.;Pacific J. Math.,1971

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