On finite permutation groups with a transitive cyclic subgroup.

DOI10.1016/j.jalgebra.2011.10.021zbMath1257.20002OpenAlexW2066273529WikidataQ56987582 ScholiaQ56987582MaRDI QIDQ420674

Cai Heng Li, Cheryl E. Praeger

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.10.021

zbMATH Keywords

finite permutation groupsself-complementary graphscyclic regular groupshomogeneous factorisationsprimitive c-groupstransitive cyclic subgroups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Related Items (15)

Circulant homogeneous factorisations of complete digraphs \(\mathbf K_{p^{d}}\) with \(p\) an odd prime ⋮ SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS ⋮ Finite permutation groups containing a transitive abelian subgroup ⋮ New constructions of self-complementary Cayley graphs ⋮ Settled elements in profinite groups ⋮ Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants. ⋮ Arc‐transitive bicirculants ⋮ On finite self-complementary metacirculants ⋮ Skew-morphisms of nonabelian characteristically simple groups ⋮ NEW CONSTRUCTIONS OF SELF-COMPLEMENTARY CAYLEY GRAPHS ⋮ Transitive characteristically simple subgroups of finite quasiprimitive permutation groups ⋮ Classification of half-arc-transitive graphs of order \(4p\) ⋮ An explicit characterization of arc-transitive circulants ⋮ Circulant association schemes on triples ⋮ Skew product groups for monolithic groups

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• SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS NEED NOT BE CAYLEY GRAPHS
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
• Cyclic regular subgroups of primitive permutation groups
• On partitioning the orbitals of a transitive permutation group
• Finite permutation groups with a transitive minimal normal subgroup
• Finite edge-transitive Cayley graphs and rotary Cayley maps

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