Abstract
We provide examples of finitely generated groups of uniform exponential growth whose minimal growth is not realized by any generating set: namely, all non-Hopfian free products of groups have this property. This result stems from growth tightness of free products: that is, the exponential growth rate of every nontrivial free product, different from Z 2 * Z 2, its strictly greater than the growth rate of any of its proper quotients.
Sign-in/Register to access full text options 
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 callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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.
