1. Beijing International Center for Mathematical Research, Peking University, Beijing 100871, P. R. China;2. Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China
Abstract:
Let G be a finite group. Let Irr1(G) be the set of nonlinear irreducible characters of G and cd1(G) the set of degrees of the characters in Irr1(G). A group G is said to be a D2-group if |cd1(G)| = |Irr1(G)| - 2. The main purpose of this paper is to classify nonsolvable D2-groups.