JP Journal of Algebra, Number Theory and Applications
Volume 63, Issue 1, Pages 23 - 54
(January 2024) http://dx.doi.org/10.17654/0972555524002 |
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ON ORBITS OF WREATH PRODUCT OF FINITE GROUPS
Bashayer S. Alharbi and Ahmad M. Alghamdi
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Abstract: We discuss the general relationship between the number of orbits of the wreath product and the orbits of two permutation groups that constitute the wreath product. Examples are provided to illustrate the relationship.
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Keywords and phrases: wreath product, group action, finite permutation groups, symmetry groups, application of symmetry groups.
Received: September 19, 2023; Revised: October 3, 2023; Accepted: November 2, 2023
How to cite this article: Bashayer S. Alharbi and Ahmad M. Alghamdi, On orbits of wreath product of finite groups, JP Journal of Algebra, Number Theory and Applications 63(1) (2024), 23-54. http://dx.doi.org/10.17654/0972555524002
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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