Solvable groups satisfying the two-prime hypothesis II
Group Theory
2010-10-20 v1
Abstract
In this paper, we consider solvable groups that satisfy the two-prime hypothesis. We prove that if is such a group and has no nonabelian nilpotent quotients, then . Combining this result with the result from part I, we deduce that if is any such group, then the same bound holds.
Keywords
Cite
@article{arxiv.1010.3786,
title = {Solvable groups satisfying the two-prime hypothesis II},
author = {James Hamblin and Mark L. Lewis},
journal= {arXiv preprint arXiv:1010.3786},
year = {2010}
}