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arxiv: 1502.03425 · v1 · pith:H5YIVWIXnew · submitted 2015-01-21 · 🧮 math.GR · math.RT

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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