Abstract
We prove a character degree property of the alternating groups, recently conjectured by Huppert.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Balog, C. Bessenrodt, J. B. Olsson andK. Ono Prime power degree representations of the symmetric and alternating groups. J. London Math. Soc. (2)64, 344–356 (2001).
F. Hering, Eine Beziehung zwischen Binomialkoeffizienten und Primzahlpotenzen. Arch. Math.19, 411–412 (1968).
B. Huppert, Some simple groups which are determined by the set of their character degrees, I. Illinois J. Math.44, 828–842 (2000).
B. Huppert, Some simple groups which are determined by the set of their character degrees, II. Institut für Experimentelle Mathematik, Universität Essen, Preprint No. 10 (2000).
B. Huppert, Some simple groups which are determined by the set of their character degrees, III. Institut für Experimentelle Mathematik, Universität Essen, Preprint No. 11 (2000).
G. James andA. Kerber, The representation theory of the symmetric group. Encyclopedia Math. Appl.16, 1981.
W. Stahl, Bemerkung zu einer Arbeit von Hering. Arch. Math.20, 580 (1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bessenrodt, C. On a conjecture of huppert for alternating groups. Arch. Math 79, 401–403 (2002). https://doi.org/10.1007/BF02638374
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02638374