Regular Cayley maps for cyclic groups

DOI10.1090/S0002-9947-2014-05933-3zbMath1290.05160OpenAlexW1976327627MaRDI QIDQ5420127

Thomas W. Tucker, Marston D. E. Conder

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-05933-3

zbMATH Keywords

orientation-preserving automorphismsorientably-regular map

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Group actions on combinatorial structures (05E18)

Related Items (25)

On the skew-morphisms of dihedral groups ⋮ On even-closed regular embeddings of graphs ⋮ Quotients of polynomial rings and regular \(t\)-balanced Cayley maps on abelian groups ⋮ Classification of reflexible Cayley maps for dihedral groups ⋮ Skew-morphisms of cyclic \(p\)-groups ⋮ Quotients of skew morphisms of cyclic groups ⋮ Enumeration of regular maps of given type on twisted linear fractional groups ⋮ Regular Cayley maps of elementary abelian \(p\)-groups: classification and enumeration ⋮ Reflexible complete regular dessins and antibalanced skew morphisms of cyclic groups ⋮ Unnamed Item ⋮ Orientably-Regular Maps on Twisted Linear Fractional Groups ⋮ Skew-morphisms of nonabelian characteristically simple groups ⋮ Regular Cayley maps for dihedral groups ⋮ Cayley digraphs of 2-genetic groups of odd prime-power order ⋮ Cyclic complements and skew morphisms of groups. ⋮ Regular Cayley maps on dihedral groups with the smallest kernel ⋮ Smooth skew morphisms of the dihedral groups ⋮ Skew-morphisms of cyclic 2-groups ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Smooth skew morphisms of dicyclic groups ⋮ Regular Cayley maps of skew-type 3 for dihedral groups ⋮ A classification of regular Cayley maps with trivial Cayley-core for dihedral groups ⋮ Skew product groups for monolithic groups ⋮ Classification of skew morphisms of cyclic groups which are square roots of automorphisms ⋮ Half-regular Cayley maps

Uses Software

• Magma

Cites Work

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