Huppert's Conjecture for alternating groups
Copyright policy )Huppert's Conjecture for alternating groups
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.
20 pages
- Peking University China (People's Republic of)
- University System of Ohio United States
- Kent State University United States
- University of Pretoria South Africa
- University of Hannover Germany
Ordinary representations and characters, character degrees, Representations of finite symmetric groups, Group Theory (math.GR), 20C15, 20D05, 20C30, FOS: Mathematics, Simple groups: alternating groups and groups of Lie type, Representation Theory (math.RT), alternating groups, Huppert's conjectures, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Mathematics - Representation Theory
Ordinary representations and characters, character degrees, Representations of finite symmetric groups, Group Theory (math.GR), 20C15, 20D05, 20C30, FOS: Mathematics, Simple groups: alternating groups and groups of Lie type, Representation Theory (math.RT), alternating groups, Huppert's conjectures, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Mathematics - Representation Theory
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