Abstract
Let G → Aut F be an action of a finite group G on a free group F. The main result of the paper is that the maximal free product decomposition F=F 1∗F 2∗…∗F n , with factors F 1, F 2,…, F n invariant under the action of G, is practically unique. As an application, a classification is obtained of all periodic automorphisms of free groups of rank ≤ 5.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.