On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic

Publication date: 27 June 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/v25i2p49

zbMATH Keywords

Cayley graph isomorphism CI-group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items (3)

Generalized dihedral CI-groups ⋮ 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

Cites Work

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On the Cayley isomorphism problem for Cayley objects of nilpotent groups of some orders
Monomial isomorphisms of cyclic codes
On the proof of a theorem of Pálfy.
Automorphism groups of wreath product digraphs
CI-property of elementary abelian 3-groups
On the isomorphism problem for cyclic combinatorial objects
Sur une maniere de différencier les fonctions cycliques d'une forme donnée
Classification of vertex-transitive graphs of order a prime cubed. I
On the Cayley isomorphism problem
Some new groups which are not CI-groups with respect to graphs
Elementary abelian groups of rank 5 are DCI-groups
Multipliers and generalized multipliers of cyclic objects and cyclic codes
On isomorphisms of abelian Cayley objects of certain orders
Isomorphism problem for relational structures with a cyclic automorphism
Transitive permutation groups of prime-squared degree
An elementary abelian group of large rank is not a CI-group
On the Cayley isomorphism problem for ternary relational structures
Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
Further restrictions on the structure of finite CI-groups
On groups of odd prime-power degree that contain a full cycle
The Cayley isomorphism property for groups of order 8p
On a Class of Fixed-Point-Free Graphs
The Group is a CI-Group
Finite Permutation Groups and Finite Simple Groups
Isomorphic Cayley graphs on nonisomorphic groups
The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
CI-groups with respect to ternary relational structures: new examples
Point-symmetric graphs with a prime number of points
Graphs with circulant adjacency matrices
Sur les systèmes cycliques de triples de Steiner différents pour \(N\) premier de la forme \(6n+1\)
An elementary Abelian group of rank 4 is a CI-group

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