| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588682 | Journal of Algebra | 2007 | 9 Pages |
Abstract
The following theorem is proved. Let G be a finite group of odd order admitting an involutory automorphism ϕ such that G=[G,ϕ]. Suppose that CG(ϕ) has a nilpotent subgroup of index n. Then the index [G′:F(G′)] is bounded by a function depending only on n.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
