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Huppert's Conjecture for Alternating groups

Group Theory 2015-02-12 v1 Representation Theory

Abstract

We prove that the alternating groups of degree at least 55 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.

Keywords

Cite

@article{arxiv.1502.03425,
  title  = {Huppert's Conjecture for Alternating groups},
  author = {Christine Bessenrodt and Hung P. Tong-Viet and Jiping Zhang},
  journal= {arXiv preprint arXiv:1502.03425},
  year   = {2015}
}

Comments

20 pages

R2 v1 2026-06-22T08:27:54.105Z