Christine Bessenrodt, Hung P. Tong-Viet, Jiping Zhang
Published 2015-01-21Version 1
We prove that the alternating groups of degree at least $5$ are uniquely determined up to an abelian direct factor by the degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.
Dimension $n$ Representations of the Braid Group on $n$ Strings
Coverings of the Symmetric and Alternating Groups
Minimal polynomials of powers of cycles in ordinary representations of symmetric and alternating groups
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