The Cayley isomorphism property for \(\mathbb{Z}_p^3\times\mathbb{Z}_q\)

DOI10.5802/alco.154zbMath1465.05081arXiv1907.03570OpenAlexW3153162912MaRDI QIDQ2031617

Gábor Somlai, Mikhail E. Muzychuk

Publication date: 10 June 2021

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

Full work available at URL: https://arxiv.org/abs/1907.03570

zbMATH Keywords

Cayley graphsCI property

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (6)

Normal Cayley digraphs of cyclic groups with CI-property ⋮ Generalized dihedral CI-groups ⋮ Normal Cayley digraphs of dihedral groups with CI-property ⋮ CI-property of \(C_p^2 \times C_n\) and \(C_p^2 \times C_q^2\) for digraphs ⋮ The group \(C_p^4 \times C_q\) is a DCI-group ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property

Cites Work

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• Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-groups.
• The isomorphism problem for Cayley ternary relational structures for some abelian groups of order \(8p\)
• Isomorphism of circulant graphs and digraphs
• On Ádám's conjecture for circulant graphs
• Some new groups which are not CI-groups with respect to graphs
• Elementary abelian groups of rank 5 are DCI-groups
• Ádám's conjecture is true in the square-free case
• Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group
• Further restrictions on the structure of finite CI-groups
• Schurity of $S$-rings over a cyclic group and generalized wreath product of permutation groups
• The Group is a CI-Group
• Isomorphism problem for a class of point-symmetric structures
• CI-Property for Decomposable Schur Rings over an Abelian Group
• Untersuchungen von S‐Ringen, insbesondere im Gruppenring von p‐Gruppen
• Isomorphism problem for a special class of graphs
• Graphs with circulant adjacency matrices
• An elementary Abelian group of rank 4 is a CI-group

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