On solvable groups and Cayley graphs

DOI10.1016/J.JCTB.2008.01.004zbMath1189.05073OpenAlexW2023937181MaRDI QIDQ958682

Edward Dobson

Publication date: 8 December 2008

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2008.01.004

zbMATH Keywords

Cayley graphvertex-transitive graphmetacirculant graphtransitive solvable subgroups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

Cayley graphs of more than one abelian group ⋮ Cayley numbers with arbitrarily many distinct prime factors ⋮ On cubic vertex-transitive non-Cayley graphs of 2-power orders ⋮ On Semiregular Elements of Solvable Groups

Cites Work

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• Isomorphism of circulant graphs and digraphs
• Non-Cayley vertex-transitive graphs of order twice the product of two odd primes
• On vertex-transitive, non-Cayley graphs of order \(pqr\)
• On solvable groups and circulant graphs
• On the Cayley isomorphism problem
• Isomorphism problem for relational structures with a cyclic automorphism
• Transitive permutation groups of prime-squared degree
• Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
• On Semiregular Elements of Solvable Groups
• On a Class of Fixed-Point-Free Graphs
• Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes
• A Construction for Vertex-Transitive Graphs
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
• Vertex-transitive graphs that are not Cayley graphs. II

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