Abstract
Given an abstract group G, we study the function ab_n(G) := sup _{|G:H| le n} |H/[H,H]|. If G has no abelian composition factors, then ab_n(G) is bounded by a polynomial: as a consequence, we find a sharp upper bound for the representation growth of these groups.
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 callSimilar Papers
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.
