Nonsolvable D 2-groups

Citation
Liu, Yang et Lu, Zi Qun, Nonsolvable D 2-groups, Acta mathematica Sinica. English series (Print) , 31(11), 2015, pp. 1683-1702
ISSN journal
14398516
Volume
31
Issue
11
Year of publication
2015
Pages
1683 - 1702
Database
ACNP
SICI code
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 D 2-group if |cd1(G)| = |Irr1(G)| . 2. The main purpose of this paper is to classify nonsolvable D 2-groups.