COPRIME AUTOMORPHISMS OF FINITE GROUPS

Let G be a finite group admitting a coprime automorphism α of order e. Denote by IG(α) the set of commutators g−1gα, where g ∈ G, and by [G, α] the subgroup generated by IG(α). We study the impact of IG(α) on the structure of [G, α]. Suppose that each subgroup generated by a subset of IG(α) can be g...

Full description

Bibliographic Details
Main Authors: Acciarri, C. (Author), Guralnick, R.M (Author), Shumyatsky, P. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Online Access:View Fulltext in Publisher