Group actions, coverings and lifts of automorphisms
From MaRDI portal
Publication:1379840
DOI10.1016/S0012-365X(97)00141-6zbMath0893.57001MaRDI QIDQ1379840
Publication date: 31 August 1998
Published in: Discrete Mathematics (Search for Journal in Brave)
Covering spaces and low-dimensional topology (57M10) Relations of low-dimensional topology with graph theory (57M15)
Related Items (58)
2-arc-transitive cyclic covers of \(K_{n,n}\) ⋮ Pentavalent symmetric graphs of order twice a prime power ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ Classifying cubic symmetric graphs of order \(10p\) or \(10p^{2}\) ⋮ Classifying cubic edge-transitive graphs of order \(8p\) ⋮ Semisymmetric elementary abelian covers of the Heawood graph ⋮ Lifting automorphisms along abelian regular coverings of graphs ⋮ Cubic symmetric graphs of order a small number times a prime or a prime square ⋮ Generation of various classes of trivalent graphs ⋮ Symmetries in graphs via simplicial automorphisms ⋮ Cubic symmetric graphs of order \(8p^3\) ⋮ On cubic symmetric non-Cayley graphs with solvable automorphism groups ⋮ On cyclic regular covers of complete graphs of small order ⋮ On 2-arc-transitivity of Cayley graphs ⋮ On edge-transitive metacyclic covers of cubic arc-transitive graphs of order twice a prime ⋮ Elementary abelian covers of the Wreath graph W (3, 2) and the Foster graph F26A ⋮ \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\). ⋮ All polytopes are coset geometries: characterizing automorphism groups of \(k\)-orbit abstract polytopes ⋮ CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER 8p2 ⋮ How to find \(G\)-admissible abelian regular coverings of a graph? ⋮ Linear criteria for lifting automorphisms of elementary abelian regular coverings ⋮ 2-ARC-TRANSITIVE REGULAR COVERS OF HAVING THE COVERING TRANSFORMATION GROUP ⋮ Generalized Gardiner-Praeger graphs and their symmetries ⋮ Edge-transitive cyclic regular covers of the Möbius-Kantor graph ⋮ Semisymmetric graphs ⋮ Symmetric cubic graphs with solvable automorphism groups ⋮ Constructing even radius tightly attached half-arc-transitive graphs of valency four ⋮ Classification of symmetric Tabačjn graphs ⋮ Lifting graph automorphisms along solvable regular covers ⋮ Semisymmetric Zp-covers of the C20 graph ⋮ Half-transitive graphs of valency 4 with prescribed attachment numbers ⋮ Tetravalent vertex‐transitive graphs of order 4p ⋮ 2-arc-transitive cyclic covers of \(K_{n,n}-nK_2\) ⋮ Classification of 2-arc-transitive dihedrants ⋮ Computing stable epimorphisms onto finite groups ⋮ 2-arc-transitive metacyclic covers of complete graphs ⋮ On symmetric graphs of valency five ⋮ Rose window graphs underlying rotary maps ⋮ 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\) ⋮ Cubic semisymmetric graphs of order \(6p^{3}\) ⋮ Cubic semisymmetric graphs of order \(2qp^2\) ⋮ 2-arc-transitive regular covers of $K_{n,n}$ having the covering transformation group $\mathbb{Z}_p^2$ ⋮ An infinite family of tetravalent half-arc-transitive graphs ⋮ Classification of edge-transitive rose window graphs ⋮ A complete classification of cubic symmetric graphs of girth 6 ⋮ Half-arc-transitive graphs and the Fano plane ⋮ Cubic semisymmetric graphs of order \(8p ^{3}\) ⋮ On \(2\)-arc-transitive covers of complete graphs ⋮ On cubic non-Cayley vertex-transitive graphs ⋮ Automorphism groups of 3-orbit polyhedra ⋮ Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\) ⋮ Lifting graph automorphisms by voltage assignments ⋮ Tetravalent graphs admitting half-transitive group actions: Alternating cycles ⋮ Automorphism groups of tetravalent Cayley graphs on regular \(p\)-groups ⋮ Some computational aspects of solvable regular covers of graphs ⋮ A classification of pentavalent arc-transitive bicirculants ⋮ Transitive group actions: (im)primitivity and semiregular subgroups. ⋮ Constructing an infinite family of cubic 1-regular graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A contribution to the theory of voltage graphs
- Isomorphisms and automorphisms of graph coverings
- Graphs with polynomial growth are covering graphs
- Observations on the construction of covers using permutation voltage assignments
- Regular maps from voltage assignments and exponent groups
- Automorphism groups of covering graphs
- Automorphisms of graphs and coverings
- Lifting graph automorphisms by voltage assignments
- Lifting map automorphisms and MacBeath's theorem
- Graph covering projections arising from finite vector spaces over finite fields
- Distributions of regular branched prime-fold coverings of surfaces
- Constructing infinite one-regular graphs
- Homological Coverings of Graphs
- Isomorphism Classes of Graph Bundles
- A new 5‐arc‐transitive cubic graph
- Lifting and projecting homeomorphisms
- Lifting and projecting homeomorphisms
This page was built for publication: Group actions, coverings and lifts of automorphisms
