Some new groups which are not CI-groups with respect to graphs

zbMath1380.05201MaRDI QIDQ1700767

Ted Dobson

Publication date: 22 February 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i1p12

zbMATH Keywords

Cayley graphisomorphismCI-group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Group actions on combinatorial structures (05E18)

Related Items (4)

On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic ⋮ Generalized dihedral CI-groups ⋮ The Cayley isomorphism property for \(\mathbb{Z}_p^3\times\mathbb{Z}_q\) ⋮ The group \(C_p^4 \times C_q\) is a DCI-group

Cites Work

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• Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-groups.
• Further restrictions on the structure of finite DCI-groups: an addendum
• Digraph representations of 2-closed permutation groups with a normal regular cyclic subgroup
• Isomorphisms of finite Cayley digraphs of bounded valency
• On the Cayley isomorphism problem
• Quotients of CI-groups are CI-groups
• Further restrictions on the structure of finite CI-groups
• On the action of non-Abelian groups on graphs
• Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes
• Isomorphism Problem for Metacirculant Graphs of Order a Product of Distinct Primes

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