Normal Cayley digraphs of generalized quaternion groups with CI-property
From MaRDI portal
Publication:2113682
DOI10.1016/j.amc.2022.126966OpenAlexW4210477753MaRDI QIDQ2113682
Young Soo Kwon, Jin-Hua Xie, Yan Quan Feng
Publication date: 14 March 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.126966
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The automorphism group of the alternating group graph
- Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-groups.
- Further restrictions on the structure of finite DCI-groups: an addendum
- CI-property of elementary abelian 3-groups
- Isomorphisms of finite Cayley digraphs of bounded valency
- On the full automorphism group of a graph
- A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
- Isomorphism of circulant graphs and digraphs
- On isomorphisms of finite Cayley graphs
- The Magma algebra system. I: The user language
- Corrigendum to: On Ádám's conjecture for circulant graphs
- Automorphism groups and isomorphisms of Cayley digraphs
- Arc-transitive Cayley graphs on non-abelian simple groups with soluble vertex stabilizers and valency seven
- Elementary abelian groups of rank 5 are DCI-groups
- Elementary proofs that \(Z_p^2\) and \(Z_p^3\) are CI-groups
- Isomorphism problem for relational structures with a cyclic automorphism
- On isomorphisms of finite Cayley graphs---a survey
- An elementary abelian group of large rank is not a CI-group
- Ádám's conjecture is true in the square-free case
- Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
- Arc-transitive Cayley graphs on nonabelian simple groups with prime valency
- 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
- A census of small transitive groups and vertex-transitive graphs
- Quotients of CI-groups are CI-groups
- Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
- On locally primitive Cayley graphs of finite simple groups
- Further restrictions on the structure of finite CI-groups
- Elementary abelian \(p\)-groups of rank greater than or equal to \(4p-2\) are not CI-groups.
- Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
- On the automorphism groups of almost all circulant graphs and digraphs
- Cayley Digraphs of Finite Simple Groups with Small Out-Valency
- The Group is a CI-Group
- Isomorphism problem for a class of point-symmetric structures
- Generalized dihedral CI-groups
- Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups
- Point-symmetric graphs with a prime number of points
- Isomorphism problem for a special class of graphs
- Graphs with circulant adjacency matrices
