Further restrictions on the structure of finite CI-groups

DOI10.1007/s10801-006-0052-1zbMath1124.05045OpenAlexW2132162497MaRDI QIDQ2457934

Zai Ping Lu, Cai Heng Li, Péter P. Pálfy

Publication date: 24 October 2007

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

Full work available at URL: https://doi.org/10.1007/s10801-006-0052-1

zbMATH Keywords

Cayley graphsCI-groupsisomorphism problem

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (23)

Character Sums for Cayley Graphs ⋮ On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic ⋮ The transitive groups of degree 48 and some applications ⋮ Normal Cayley digraphs of cyclic groups with CI-property ⋮ Enumeration of cubic Cayley graphs on dihedral groups ⋮ Two families of graphs that are Cayley on nonisomorphic groups ⋮ Generalized dihedral CI-groups ⋮ Normal Cayley digraphs of dihedral groups with CI-property ⋮ Further restrictions on the structure of finite DCI-groups: an addendum ⋮ CI-property of \(C_p^2 \times C_n\) and \(C_p^2 \times C_q^2\) for digraphs ⋮ 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 ⋮ A large family of cospectral Cayley graphs over dicyclic groups ⋮ The CI problem for infinite groups ⋮ Elementary abelian groups of rank 5 are DCI-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 ⋮ Schur rings. ⋮ The Cayley isomorphism property for the group C4×Cp2 ⋮ Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group ⋮ Quotients of CI-groups are CI-groups ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property

Cites Work

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