AbstractWe show that, whereas a finite map is regular if and only if its automorphism group and monodromy group are isomorphic as abstract groups, for infinite maps this condition is necessary but not sufficient, and we need the stronger condition that they should be isomorphic as permutation groups. We illustrate this with examples of maps based on Grigorchuk's group and the modular group
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...
A regular Cayley map for a finite group A is an orientable map whose orientation-preserving automorp...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractWe show that, whereas a finite map is regular if and only if its automorphism group and mono...
AbstractRegular maps whose automorphism groups do not have faithful action on vertices, edges, or fa...
Regular maps whose automorphism groups do not have faithful action on vertices, edges, or faces are ...
AbstractRegular maps whose automorphism groups do not have faithful action on vertices, edges, or fa...
AbstractWe show that given a finite group G a hypermap can be constructed having automorphism group ...
It is shown that in various categories, including many consisting of maps or hypermaps, oriented or ...
It is shown that in various categories, including many consisting of maps or hypermaps, oriented or ...
Regular and orientably-regular maps are central to the part of topological graph theory concerned wi...
Let f(z) be a rational map, Aut(f) the finite group of Mo.. bius transformations commuting with f. W...
AbstractCayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orie...
Regular maps, that is, graph embeddings with the ‘highest level’ of orientation-preserving symmetry,...
This paper uses combinatorial group theory to help answer some long-standing questions about the gen...
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...
A regular Cayley map for a finite group A is an orientable map whose orientation-preserving automorp...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractWe show that, whereas a finite map is regular if and only if its automorphism group and mono...
AbstractRegular maps whose automorphism groups do not have faithful action on vertices, edges, or fa...
Regular maps whose automorphism groups do not have faithful action on vertices, edges, or faces are ...
AbstractRegular maps whose automorphism groups do not have faithful action on vertices, edges, or fa...
AbstractWe show that given a finite group G a hypermap can be constructed having automorphism group ...
It is shown that in various categories, including many consisting of maps or hypermaps, oriented or ...
It is shown that in various categories, including many consisting of maps or hypermaps, oriented or ...
Regular and orientably-regular maps are central to the part of topological graph theory concerned wi...
Let f(z) be a rational map, Aut(f) the finite group of Mo.. bius transformations commuting with f. W...
AbstractCayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orie...
Regular maps, that is, graph embeddings with the ‘highest level’ of orientation-preserving symmetry,...
This paper uses combinatorial group theory to help answer some long-standing questions about the gen...
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...
A regular Cayley map for a finite group A is an orientable map whose orientation-preserving automorp...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
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