Huppert's Conjecture for Alternating groups
classification
🧮 math.GR
math.RT
keywords
alternatinggroupsconjecturehuppertabeliancomplexconfirmsdegree
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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.
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