Huppert's Conjecture for Alternating groups

2015/01/21 by Christine Bessenrodt, Bessenrodt, Christine, Hung P. Tong-Viet +3
Mathematics · #20C15 #20C30 #20D05 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C15 #msc:20C30 #msc:20D05

paper · pdf · doi:10.48550/arxiv.1502.03425

20 pages

arxiv created 2015/01/21 · arxiv updated 2015/02/12

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.

Related

• Huppert's Conjecture for finite simple exceptional groups of Lie type
• The irreducible representations of the alternating group which remain irreducible in characteristic p
• Equivalent version of Huppert's conjecture for K₃-groups
• Equivalent version of Huppert's conjecture on the codegrees
• Thompson's conjecture for alternating group