Elementary abelian groups of rank 5 are DCI-groups
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Publication:1747766
DOI10.1016/j.jcta.2018.02.003zbMath1385.05038arXiv1705.02929OpenAlexW2964012019MaRDI QIDQ1747766
Publication date: 27 April 2018
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.02929
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Permutation groups (20B99)
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On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic, Normal Cayley digraphs of cyclic groups with CI-property, Generalized dihedral CI-groups, Normal Cayley digraphs of dihedral groups with CI-property, CI-property of \(C_p^2 \times C_n\) and \(C_p^2 \times C_q^2\) for digraphs, 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, The Cayley isomorphism property for the group C^5_2 × C_p, A constructive solution to a problem of ranking tournaments, The Cayley isomorphism property for the group C4×Cp2, Normal Cayley digraphs of generalized quaternion groups with CI-property
Cites Work
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- 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
- Schur rings.
- A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
- On isomorphisms of finite Cayley graphs
- Elementary proofs that \(Z_p^2\) and \(Z_p^3\) are CI-groups
- On isomorphisms of finite Cayley graphs---a survey
- An elementary abelian group of large rank is not a CI-group
- Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
- On Schur rings over cyclic groups. II
- An algebraic approach to association schemes
- Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group
- 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.
- An answer to Hirasaka and Muzychuk: every \(p\)-Schur ring over \(C_p^3\) is Schurian.
- Isomorphism problem for a class of point-symmetric structures
- Point-symmetric graphs with a prime number of points
- Isomorphism problem for a special class of graphs
- Graphs with circulant adjacency matrices
- An elementary Abelian group of rank 4 is a CI-group