On the Cayley isomorphism problem for Cayley objects of nilpotent groups of some orders

zbMath1300.05326MaRDI QIDQ405288

Edward Dobson

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i3p8

zbMATH Keywords

Cayley graphisomorphism problemCayley objectCI-group

Mathematics Subject Classification ID

Nilpotent groups (20F18) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items

Cayley graphs of more than one abelian group, On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic, Further restrictions on the structure of finite DCI-groups: an addendum, Enumerating Cayley (di-)graphs on dihedral groups, Monomial isomorphisms of cyclic codes

Cites Work

• On the isomorphism problem for cyclic combinatorial objects
• Corrigendum to: On Ádám's conjecture for circulant graphs
• On isomorphisms of abelian Cayley objects of certain orders
• Isomorphism problem for relational structures with a cyclic automorphism
• Jordan-Hölder theorem for imprimitivity systems and maximal decompositions of rational functions
• The Group is a CI-Group
• Graphs with circulant adjacency matrices
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