Article ID Journal Published Year Pages File Type
4585184 Journal of Algebra 2013 22 Pages PDF
Abstract

Let V be a finite faithful completely reducible FG-module for a finite field F and a finite group G. In various cases explicit linear bounds in |V| are given for the numbers of conjugacy classes k(GV) and k(G) of the semidirect product GV and of the group G respectively. These results concern the so-called non-coprime k(GV)-problem.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory