finite groups, character degrees, Huppert's Conjecture

Alternating and Sporadic simple groups are determined by their character degrees

by Hung Phi Tong-Viet

published in Algebras and Representation Theory

We showed that the simple groups in the title are uniquely determined by their character degrees (counting... more We showed that the simple groups in the title are uniquely determined by their character degrees (counting multiplicities) and so they are determined by the first columns of their ordinary character tables