Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583586 | Journal of Algebra | 2017 | 26 Pages |
Abstract
We prove that the alternating groups of degree at least 5 are uniquely determined up to an abelian direct factor by the set of degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christine Bessenrodt, Hung P. Tong-Viet, Jiping Zhang,