Elementary proofs that \(Z_p^2\) and \(Z_p^3\) are CI-groups

DOI10.1006/eujc.1999.0309zbMath0942.05031OpenAlexW1975267010MaRDI QIDQ1817587

Lewis A. Nowitz, Brian Alspach

Publication date: 15 August 2000

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

Full work available at URL: https://doi.org/10.1006/eujc.1999.0309

zbMATH Keywords

Cayley graphCayley isomorphism property

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 (10)

On a huge family of non-Schurian Schur rings ⋮ Normal Cayley digraphs of cyclic groups with CI-property ⋮ Normal Cayley digraphs of dihedral groups with CI-property ⋮ Elementary abelian groups of rank 5 are DCI-groups ⋮ The Cayley isomorphism property for the group C^5_2 × C_p ⋮ A constructive solution to a problem of ranking tournaments ⋮ Brian Alspach and his work ⋮ The Cayley isomorphism property for the group C4×Cp2 ⋮ Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property

Cites Work

• Unnamed Item
• Isomorphisms of finite Cayley digraphs of bounded valency
• A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
• On isomorphisms of finite Cayley graphs
• On the isomorphism problem for finite Cayley graphs of bounded valency
• Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
• Isomorphism problem for a class of point-symmetric structures

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