Permutation groups and set-orbits on the power set

DOI10.1007/s40840-021-01188-7OpenAlexW3198192151MaRDI QIDQ2064915

Yong Yang, Yan Xiong Yan

Publication date: 6 January 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01188-7

zbMATH Keywords

finite groupsorbitspermutation groupspower set

Mathematics Subject Classification ID

General theory for finite permutation groups (20B05)

Related Items (1)

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

Uses Software

• GAP

Cites Work

• Multiplicities of conjugacy class sizes of finite groups.
• Permutation groups without exponentially many orbits on the power set
• On the orders of primitive groups
• Lower bounds for the number of conjugacy classes of finite groups
• Primitive Groups with no Regular Orbits on the Set of Subsets
• Trivial Set-Stabilizers in Finite Permutation Groups
• Permutation groups and orbits on the power set
• Solvable Permutation Groups and Orbits on Power Sets
• Set-Transitive Permutation Groups

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