Some simple groups which are determined by the set of their character degrees. I
Let \(G\) be one of the finite simple groups \(L_2(2^f)\) or \(Sz(2^f)\). The author proves that every finite group whose set of degrees of the irreducible ordinary characters coincides with that of \(G\) is isomorphic to the direct product of \(G\) and an Abelian group. He also proposes the conjecture that the same holds for an arbitrary finite simple group \(G\).
scientific article; zbMATH DE number 1553604