Abstract

We study the automorphism group $\Aut{G}$ of a free product $G$ of finite cyclic groups. We investigate the question in which cases $\Aut{G}$ has Serre's property FA. In the case of two or three free factors, we prove that $\Aut{G}$ does not have property FA. However, if each free factor of $G$ occurs at least four times we show that $\Aut{G}$ does have property FA.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.