Character Degrees, Complex Group Algebras
Alternating and Sporadic simple groups are determined by their character degrees
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
Simple exceptional groups of Lie type are determined by their character degrees
published in Monatshefte für Mathematik
This is the second paper in the series of papers to verify the conjecture which says that the nonabelian simple groups... more This is the second paper in the series of papers to verify the conjecture which says that the nonabelian simple groups are uniquely determined by the first columns of their ordinary character tables or equivalently by the structure of their complex group algebras.