Nonsolvable D-2-groups

作者:Liu Yang*; Lu Zi Qun
来源:Acta Mathematica Sinica-English Series, 2015, 31(11): 1683-1702.
DOI:10.1007/s10114-015-4669-7

摘要

Let G be a finite group. Let Irr(1)(G) be the set of nonlinear irreducible characters of G and cd(1)(G) the set of degrees of the characters in Irr(1)(G). A group G is said to be a D-2-group if vertical bar cd(1)(G)vertical bar = vertical bar Irr(1)(G)vertical bar - 2. The main purpose of this paper is to classify nonsolvable D-2-groups.