Dihedral groups with the \(m\)-DCI property
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Publication:6604498
DOI10.1007/S10801-024-01327-WzbMATH Open1547.0513MaRDI QIDQ6604498
Young Soo Kwon, Jin-Hua Xie, Yan-Quan Feng
Publication date: 12 September 2024
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)
Cites Work
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- Further restrictions on the structure of finite DCI-groups: an addendum
- On isomorphisms of circulant digraphs of bounded degree
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- The cyclic groups with the \(m\)-DCI property
- Corrigendum to: On Ádám's conjecture for circulant graphs
- On isomorphisms of connected Cayley graphs
- On the Cayley isomorphism problem
- Elementary abelian groups of rank 5 are DCI-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
- The Cayley isomorphism property for \(\mathbb{Z}_p^3\times\mathbb{Z}_q\)
- An explicit characterization of arc-transitive circulants
- The group \(C_p^4 \times C_q\) is a DCI-group
- Arc-transitive dihedrants of odd prime-power order
- 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.
- Finite abelian groups with the \(m\)-DCI property
- Isomorphism problem for a class of point-symmetric structures
- On finite groups with the cayley isomorphism property
- The finite groups with the 2-dci property
- Generalized dihedral CI-groups
- Point-symmetric graphs with a prime number of points
- Isomorphism problem for a special class of graphs
- Graphs with circulant adjacency matrices
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