An elementary abelian group of large rank is not a CI-group
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Publication:1869252
DOI10.1016/S0012-365X(02)00558-7zbMath1027.05046MaRDI QIDQ1869252
Publication date: 9 April 2003
Published in: Discrete Mathematics (Search for Journal in Brave)
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)
Related Items (18)
On symmetries of Cayley graphs and the graphs underlying regular maps ⋮ 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 ⋮ Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-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. ⋮ The CI problem for infinite groups ⋮ Elementary abelian groups of rank 5 are DCI-groups ⋮ An answer to Hirasaka and Muzychuk: every \(p\)-Schur ring over \(C_p^3\) is Schurian. ⋮ CI-property of elementary abelian 3-groups ⋮ Unnamed Item ⋮ The Group is a CI-Group ⋮ A constructive solution to a problem of ranking tournaments ⋮ Elementary proof that \(\mathbb{Z}_p^4\) is a DCI-group ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property
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