THE NUMBER OF SET ORBITS OF PERMUTATION GROUPS AND THE GROUP ORDER

DOI10.1017/S0004972721001064OpenAlexW4210546364MaRDI QIDQ5097522

Thomas Michael Keller, Yong Yang, Michael Gintz, Zili Wang, Matthew Kortje

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721001064

zbMATH Keywords

permutation groupsgroup orderset orbits

Mathematics Subject Classification ID

General theory for finite permutation groups (20B05)

Cites Work

• Finite groups have more conjugacy classes
• Finite groups have even more conjugacy classes.
• Permutation groups without exponentially many orbits on the power set
• On the orders of primitive groups
• Permutation groups and set-orbits on the power set
• The number of set-orbits of a solvable permutation group
• Finite Groups Have Many Conjugacy Classes
• Permutation groups and orbits on the power set
• Solvable Permutation Groups and Orbits on Power Sets

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