Regular Cayley maps on dihedral groups with the smallest kernel

DOI10.1007/S10801-016-0689-3zbMath1352.05194arXiv1504.00763OpenAlexW2964021501MaRDI QIDQ2520753

Yanyan Li

Publication date: 16 December 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00763

zbMATH Keywords

dihedral groupregular mapregular Cayley mapskew-morphism

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items (11)

On the direct products of skew-morphisms ⋮ On the skew-morphisms of dihedral groups ⋮ Classification of reflexible Cayley maps for dihedral groups ⋮ Regular Cayley maps of elementary abelian \(p\)-groups: classification and enumeration ⋮ A classification of skew morphisms of dihedral groups ⋮ Skew-morphisms of nonabelian characteristically simple groups ⋮ Regular Cayley maps for dihedral groups ⋮ Smooth skew morphisms of the dihedral groups ⋮ Skew-morphisms of cyclic 2-groups ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Classification of skew morphisms of cyclic groups which are square roots of automorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• On \(G\)-arc-regular dihedrants and regular dihedral maps
• On dihedrants admitting arc-regular group actions
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• A classification of regular \(t\)-balanced Cayley maps on dihedral groups
• Regular \(t\)-balanced Cayley maps
• A classification of regular \(t\)-balanced Cayley maps on dicyclic groups
• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Regular \(t\)-balanced Cayley maps on semi-dihedral groups
• Regular maps from Cayley graphs. II: Antibalanced Cayley maps
• Skew-morphisms of regular Cayley maps
• Regular Cayley maps of skew-type 3 for dihedral groups
• A classification of regular Cayley maps with trivial Cayley-core for dihedral groups
• Regular Cayley maps of skew-type 3 for abelian groups
• Cayley maps
• Regular balanced Cayley maps for cyclic, dihedral and generalized quaternion groups
• Regular Cayley maps for cyclic groups

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