New Constructions of Groups Without Semiregular Subgroups

DOI10.1080/00927870701353357zbMath1155.20001OpenAlexW2085779714MaRDI QIDQ5423800

Michael Giudici

Publication date: 31 October 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701353357

zbMATH Keywords

transitive permutation groupspolycirculant conjectureelusive groups2-closed groups

Mathematics Subject Classification ID

General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

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Uses Software

• GAP

Cites Work

• All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism
• Semiregular automorphisms of vertex-transitive graphs of certain valencies
• Lifting Hamilton cycles of quotient graphs
• Hamiltonian paths in vertex-symmetric graphs of order 4p
• On vertex symmetric digraphs
• Hamiltonian paths in vertex-symmetric graphs of order 5p
• Symmetric Y-graphs and H-graphs
• Permutation groups, vertex-transitive digraphs and semiregular automorphisms
• On the probability of connectedness
• Constructing transitive permutation groups.
• Transitive Permutation Groups Without Semiregular Subgroups
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• QUASIPRIMITIVE GROUPS WITH NO FIXED POINT FREE ELEMENTS OF PRIME ORDER
• Three Remarkable Graphs