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