INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE

DOI10.1017/S1446788708000839zbMath1177.20022OpenAlexW2043548193MaRDI QIDQ5322923

Michael Giudici, Alice Devillers

Publication date: 23 July 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000839

zbMATH Keywords

finite groupsautomorphism groupsinvolutionsinvolution graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Arc-transitive antipodal distance-regular covers of complete graphs related to \(\mathrm{SU}_3(q)\), On coprimality graphs for symmetric groups., Covers of complete graphs and related association schemes, A note on computing involution centralizers., Odd order products of conjugate involutions in linear groups over \(\mathrm{GF}(2^a)\), Local fusion graphs and sporadic simple groups.

Uses Software

• Magma

Cites Work

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• A classification of the maximal subgroups of the finite alternating and symmetric groups
• The Magma algebra system. I: The user language
• Commuting involution graphs for symmetric groups.
• The \(3\)-transposition groups with trivial center
• Commuting involution graphs for sporadic simple groups.
• Finite groups generated by 3-transpositions. I
• Primitive Permutation Groups with a Common Suborbit, and Edge-Transitive Graphs
• Commuting Involution Graphs in Special Linear Groups
• Vertex-transitive graphs: Symmetric graphs of prime valency
• THE CLIQUE NUMBERS AND CHROMATIC NUMBERS OF CERTAIN PALEY GRAPHS
• The general theory of 3-transposition groups
• The Normal Subgroups of Finite and Affine Coxeter Groups