| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587947 | Journal of Algebra | 2008 | 4 Pages |
Abstract
Let G be an arbitrary group with finite commutator subgroup G′. We prove that if the Frattini subgroup Φ(G) is trivial then |G:Z(G)|⩽2|G′|, and this estimate is sharp. A special case of this result was conjectured by M. Herzog, G. Kaplan and A. Lev.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
