Abstract
Let G be a permutation group of order |; G| acting on a set of n elements. For g ϵ G, let θ( g) be the number of elements left fixed by g. Then, for 1 ⩽ r ⩽ n, ∑ gϵ (θ(g)) r ⩽ X r|G| with equality if and only if G is r-fold transitive. Here, X r is the r-th Bell number.
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 callDisclaimer: 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.
