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arXiv · 1502.03425

Huppert's Conjecture for Alternating groups

Christine Bessenrodt·Hung P. Tong-Viet·Jiping Zhang
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Abstract

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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Christine Bessenrodt, Hung P. Tong-Viet, Jiping Zhang. 2015-01-21. Huppert's Conjecture for Alternating groups. https://arxiv.org/abs/1502.03425

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