Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585184 | Journal of Algebra | 2013 | 22 Pages |
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