Three identities between stirling numbers and the stabilizing character sequence
Document Type
Article
Publication Date
1-1-1976
Abstract
Let x denote the stabilizing character of the action of the finite group G on the finite set X. Let xk denote \G\-1ΣσEGx(σ)K. It is well known that xk is the number of orbits of the induced action of G on the Cartesian product X(k). We show if G is a least (k l)-fold transitive on X, then xk can be expressed in terms of Stirling numbers of both kinds. Three identities between Stirling numbers and the stabilizing character sequence are obtained. © 1976, American Mathematical Society.
Publication Title
Proceedings of the American Mathematical Society
Recommended Citation
Gilpin, M.
(1976).
Three identities between stirling numbers and the stabilizing character sequence.
Proceedings of the American Mathematical Society,
60(1), 1-5.
http://doi.org/10.1090/S0002-9939-1976-0414376-9
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9758