Abstract
We study the action of finite permutation groups of odd order on the power set of a set on which they act naturally, and establish a theorem that guarantees the existence of a lot of distinct orbit sizes in this action.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by C.K. Gupta
1991 Mathematics Subject Classification: 20B05
Rights and permissions
About this article
Cite this article
Keller, T.M. On the Orbit Sizes of Permutation Groups on the Power Set. Algebra Colloq. 7, 27–32 (2000). https://doi.org/10.1007/s10011-000-0027-z
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10011-000-0027-z