On the non-coprime k(GV) problem
Group Theory
2013-05-14 v1
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.
Cite
@article{arxiv.1305.2725,
title = {On the non-coprime k(GV) problem},
author = {Robert M. Guralnick and Attila Maroti},
journal= {arXiv preprint arXiv:1305.2725},
year = {2013}
}
Comments
26 pages