Article ID Journal Published Year Pages File Type
4586192 Journal of Algebra 2011 8 Pages PDF
Abstract

In this paper we prove the following conjecture of G. Navarro: if G is a finite 2-group with exactly 5 rational conjugacy classes, then G is dihedral, semidihedral or generalized quaternion. We also characterize the 2-groups with 4 rational classes.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory