Finite structures with prescribed numbers of orbits of their automorphism group.

DOI10.1007/s10623-007-9090-5zbMath1129.20002OpenAlexW1968855658MaRDI QIDQ2384042

Jean Doyen, Anne Delandtsheer

Publication date: 20 September 2007

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9090-5

zbMATH Keywords

finite groupsnumbers of orbitsautomorphism groupsactionsorders of elementssizes of orbits

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45)

Cites Work

• Orbits in finite regular graphs
• Orbits on vertices and edges of finite graphs
• Orbits on points and lines in finite linear and quasilinear spaces
• Orbits in uniform hypergraphs
• On points and triples of Steiner triple systems
• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
• A Class of Non-Desarguesian Projective Planes
• On the orbits of collineation groups
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