Semisymmetric cubic graphs of twice odd order

DOI10.1016/J.EJC.2005.06.007zbMath1109.05054arXivmath/0408111OpenAlexW2089665208MaRDI QIDQ866515

Christopher Parker

Publication date: 14 February 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408111

zbMATH Keywords

automorphism groupfinite simple groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (20)

Semisymmetric graphs admitting primitive groups of degree \(9p\) ⋮ Semisymmetric elementary abelian covers of the Heawood graph ⋮ Semisymmetric graphs of order \(6p ^{2}\) and prime valency ⋮ Pentavalent semisymmetric graphs of square‐free order ⋮ Semisymmetric graphs of order twice prime powers with the same prime valency ⋮ Affine primitive groups and semisymmetric graphs ⋮ Semisymmetric graphs of order \(2p^3\) ⋮ Some semisymmetric graphs arising from finite vector spaces ⋮ Edge-transitive cyclic regular covers of the Möbius-Kantor graph ⋮ Semisymmetric graphs ⋮ On edge-transitive cubic graphs of square-free order ⋮ Some properties of graphs constructed from 2-designs ⋮ Semisymmetric Zp-covers of the C20 graph ⋮ A classification of semisymmetric graphs of order \(2p^3\): unfaithful case ⋮ Cubic semisymmetric graphs of order \(6p^{3}\) ⋮ Cubic semisymmetric graphs of order \(2qp^2\) ⋮ Distance-balanced graphs: symmetry conditions ⋮ Some Topics in Graph Theory ⋮ Classifying cubic semisymmetric graphs of order \(18p^n\) ⋮ Cubic semisymmetric graphs of order \(8p ^{3}\)

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Cites Work

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• On semisymmetric cubic graphs of order \(6p^{2}\)
• Some exceptional 2-adic buildings
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• The Magma algebra system. I: The user language
• An infinite family of semisymmetric graphs constructed from affine geometries
• The theory of finite groups. An introduction.
• Cubic edge-transitive graphs of order 2\(p^{3}\)
• An infinite family of cubic edge- but not vertex-transitive graphs
• Sporadic simple groups which are completions of the Goldschmidt \(G_3\)-amalgam
• Note on infinite families of trivalent semisymmetric graphs
• Solvability of groups of odd order
• On finite groups with dihedral Sylow 2-subgroups
• A census of semisymmetric cubic graphs on up to 768 vertices
• Central elements in core-free groups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• On groups with abelian Sylow 2-subgroups
• Character theory of finite groups with wreathed Sylow 2-subgroups
• Classical Groups in Dimension 3 as Completions of the Goldschmidt G ₃ -Amalgam
• Finite groups whose 2-subgroups are generated by at most 4 elements
• A classification of semisymmetric graphs of order 2pq
• Constructing cubic edge- but not vertex-transitive graphs
• An infinite family of biprimitive semisymmetric graphs
• An Edge but not Vertex Transitive Cubic Graph^*
• Endliche Gruppen I
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3
• Automorphisms of trivalent graphs
• Completions of Goldschmidt amalgams of type \(G_4\) in dimension 3

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