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ON BRANCHED COVERINGS OF LENS SPACES

Published online by Cambridge University Press:  01 July 2004

Elena Barbieri  and
Fulvia Spaggiari
Elena Barbieri
Affiliation:
Dipartimento di Matematica, Università di Modena e Reggio Emilia, 41100 Modena, Italy ([email protected]; [email protected])
Fulvia Spaggiari
Affiliation:
Dipartimento di Matematica, Università di Modena e Reggio Emilia, 41100 Modena, Italy ([email protected]; [email protected])
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Abstract

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We construct some series of polyhedral schemata which represent orientable closed connected 3-manifolds. We show that these manifolds have spines corresponding to certain balanced presentations of their fundamental groups. Then we study some covering properties of such manifolds and prove that many of them are cyclic branched coverings of lens spaces. Our theorems contain a number of published results from various sources as particular cases.

AMS 2000 Mathematics subject classification: Primary 57M12; 57M50; 57M60

Keywords

3-manifoldgroup presentationrailroad system (RR-system)spinepolyhedral representationbranched covering
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 2 , June 2004 , pp. 271 - 288
Copyright
Copyright © Edinburgh Mathematical Society 2004