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- W2221145000 abstract "Use has been made of the notion of point symmetric embeddings and the bounding properties of Jordan curves in the plane. We may relax the notion as follows. An embedding of a Cayley diagram in an orientable compact 2-manifold is called weakly point symmetric if the succession of edges either clockwise or counterclockwise is the same at each vertex, to within a cyclic permutation (or an inverse of a cyclic permutation). Under the conditions of Theorem 1, with point symmetry replaced by weak point symmetry, the local graph L* may be continued. Can it be embedded in the projective plane, or in some suitable minimal non-orientable compact 2-manifold? Since bounding properties of Jordan curves no longer apply in non-orientable surfaces, the problem of the projective planarity of a presentation with weakly point symmetric local graph remains." @default.
- W2221145000 created "2016-06-24" @default.
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- W2221145000 date "1972-01-01" @default.
- W2221145000 modified "2023-09-26" @default.
- W2221145000 title "Planarity of Cayley diagrams" @default.
- W2221145000 doi "https://doi.org/10.1007/bfb0067370" @default.
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