Regular orbits of permutation groups on the power set

DOI10.1016/0012-365X(86)90218-9zbMath0603.20001MaRDI QIDQ1082430

Peter J. Cameron

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

orbitspermutation groupsregular actionsinduced action

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for finite permutation groups (20B05)

Related Items

Finite permutation groups with few orbits under the action on the power set ⋮ Unitary designs with regular sets of points ⋮ Inversive planes, Minkowski planes and regular sets of points ⋮ Asymmetric colorings of products of graphs and digraphs ⋮ On asymmetric colourings of claw-free graphs ⋮ The distinguishing number of quasiprimitive and semiprimitive groups ⋮ Proper distinguishing arc-colourings of symmetric digraphs ⋮ Weakly regular and regular sets in Minkowski planes ⋮ Permutation groups without exponentially many orbits on the power set

Cites Work

• On groups with no regular orbits on the set of subsets
• Régularisation numérique d'orbites
• Finite Permutation Groups and Finite Simple Groups
• Asymmetric graphs