We prove that each closed connected 3-manifold admits particular crystallizations with nice properties. As a consequence, all closed 3-manifolds can be represented by a positive integer b and a fixed-point-free involutory permutation on Z_b x Z_6. Other 3-manifold representations are also obtained. Finally, an interesting family of closed connected 3-manifolds is completely studied.
Lins-Mandel crystallizations / Cavicchioli, Alberto. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 57:(1985), pp. 17-37.
Lins-Mandel crystallizations
CAVICCHIOLI, Alberto
1985
Abstract
We prove that each closed connected 3-manifold admits particular crystallizations with nice properties. As a consequence, all closed 3-manifolds can be represented by a positive integer b and a fixed-point-free involutory permutation on Z_b x Z_6. Other 3-manifold representations are also obtained. Finally, an interesting family of closed connected 3-manifolds is completely studied.
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