Further restrictions on the structure of finite DCI-groups: an addendum

DOI10.1007/s10801-015-0612-3zbMath1328.05083OpenAlexW1234568314MaRDI QIDQ902949

Pablo Spiga, Edward Dobson, Joy Morris

Publication date: 4 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10801-015-0612-3

zbMATH Keywords

Cayley graphdihedral groupisomorphism problemCI-group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (8)

Generalized dihedral CI-groups ⋮ Normal Cayley digraphs of dihedral groups with CI-property ⋮ Some new groups which are not CI-groups with respect to graphs ⋮ Non-Abelian finite groups whose character sums are invariant but are not Cayley isomorphism ⋮ Enumerating Cayley (di-)graphs on dihedral groups ⋮ Elementary abelian groups of rank 5 are DCI-groups ⋮ Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the Cayley isomorphism problem for Cayley objects of nilpotent groups of some orders
• CI-property of elementary abelian 3-groups
• On isomorphisms of finite Cayley graphs
• On the isomorphism problem for cyclic combinatorial objects
• On Ádám's conjecture for circulant graphs
• The Magma algebra system. I: The user language
• On the Cayley isomorphism problem
• Ádám's conjecture is true in the square-free case
• Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
• Further restrictions on the structure of finite CI-groups
• The Cayley isomorphism property for groups of order 8p
• The Group is a CI-Group
• Constructive enumeration of graphs
• Isomorphism problem for a class of point-symmetric structures
• Isomorphism Problem for Metacirculant Graphs of Order a Product of Distinct Primes
• A solution of the isomorphism problem for circulant graphs
• CI-groups with respect to ternary relational structures: new examples
• An elementary Abelian group of rank 4 is a CI-group

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