Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I

Details Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I

2005-06-24

arxiv.org/abs/math/0506520v1

Mathematics

Geometric Topology

74 pages, 1 figure

Scientific paper

We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial $d$-manifolds. With an implementation of our algorithm, we determine, up to combinatorial equivalence, all combinatorial manifolds with a vertex-transitive automorphism group on $n\leq 13$ vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices.

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