Normal Cayley digraphs of cyclic groups with CI-property (Q5080177)

scientific article; zbMATH DE number 7534128

Language	Label	Description	Also known as
English	Normal Cayley digraphs of cyclic groups with CI-property	scientific article; zbMATH DE number 7534128

Statements

instance of

scholarly article

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title

Normal Cayley digraphs of cyclic groups with CI-property (English)

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author

Jin-Hua Xie

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Yan Quan Feng

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Grigoriĭ Konstantinovich Ryabov

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Ying-Long Liu

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published in

Communications in Algebra

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publication date

31 May 2022

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full work available at URL

https://arxiv.org/abs/2102.03976

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zbMATH Keywords

Cayley digraph

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DCI-group

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CI-group

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NDCI-group

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NCI-group

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MaRDI profile type

MaRDI publication profile

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cites work

Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree

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Isomorphism of circulant graphs and digraphs

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

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Isomorphism problem for a class of point-symmetric structures

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Q4209771

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On the automorphism groups of almost all circulant graphs and digraphs

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On isomorphisms of finite Cayley graphs

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Isomorphism problem for a special class of graphs

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Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes

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Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)

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Transitive permutation groups of prime-squared degree

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Q4882944

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Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups

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Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups

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Q4222087

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Graphs with circulant adjacency matrices

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Q4436153

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On cubic Cayley graphs of finite simple groups

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On edge-transitive Cayley graphs of valency four

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Cayley Digraphs of Finite Simple Groups with Small Out-Valency

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On locally primitive Cayley graphs of finite simple groups

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On the Automorphism Groups of Cayley Graphs of Finite Simple Groups

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Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets

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Elementary abelian groups of rank 5 are DCI-groups

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Automorphism groups of tetravalent Cayley graphs on regular \(p\)-groups

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Q3669446

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On the full automorphism group of a graph

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An elementary Abelian group of rank 4 is a CI-group

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The Group is a CI-Group

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The group \(C_p^4 \times C_q\) is a DCI-group

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<i>CI</i>-Property for Decomposable Schur Rings over an Abelian Group

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On isomorphisms of finite Cayley graphs---a survey

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Further restrictions on the structure of finite CI-groups

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Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group

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Ádám's conjecture is true in the square-free case

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Corrigendum to: On Ádám's conjecture for circulant graphs

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An elementary abelian group of large rank is not a CI-group

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

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A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64

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Isomorphism problem for relational structures with a cyclic automorphism

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Arc-transitive Cayley graphs on non-abelian simple groups with soluble vertex stabilizers and valency seven

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Q4317890

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Vertex-transitive graphs

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Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-groups.

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Elementary abelian \(p\)-groups of rank greater than or equal to \(4p-2\) are not CI-groups.

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CI-property of elementary abelian 3-groups

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Point-symmetric graphs with a prime number of points

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Normal Cayley graphs of finite groups

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Q5512231

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Automorphism groups and isomorphisms of Cayley digraphs

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On cubic \(s\)-arc transitive Cayley graphs of finite simple groups

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5-arc transitive cubic Cayley graphs on finite simple groups

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Arc-transitive Cayley graphs on nonabelian simple groups with prime valency

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The automorphism group of the alternating group graph

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Identifiers

zbMATH Open document ID

1505.05067

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DOI

10.1080/00927872.2021.2022156

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5080177