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- W2116887413 abstract "We study a family of combinatorial closed 3-manifolds obtained from polyhedral 3-balls, whose finitely many boundary faces are glued together in pairs. Then we determine geometric presentations of their fundamental groups, and find conditions under which such groups are infinite and/or aspherical. Moreover, we show that our presentations are a natural generalization of those considered by Prishchepov in [M.I. Prishchepov, Asphericity, atoricity and symmetrically presented groups, Comm. Algebra 23 (13) (1995) 5095–5117]. Finally we illustrate some geometric and topological properties of the constructed manifolds, as, for example, a combinatorial description of them as cyclic coverings of the 3-sphere branched over some specified classes of knots." @default.
- W2116887413 created "2016-06-24" @default.
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- W2116887413 date "2010-11-01" @default.
- W2116887413 modified "2023-09-30" @default.
- W2116887413 title "Combinatorics of a class of groups with cyclic presentation" @default.
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- W2116887413 doi "https://doi.org/10.1016/j.disc.2009.03.011" @default.
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