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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


The virtual $ Z$-representability of $ 3$-manifolds which admit orientation reversing involutions

Author: Shi Cheng Wang
Journal: Proc. Amer. Math. Soc. 110 (1990), 499-503
MSC: Primary 57N10
MathSciNet review: 977930
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Abstract: We prove a result which supports the Waldhausen Conjecture, i.e., suppose $ M$ is an irreducible orientable $ 3$-manifold with $ \vert{\pi _1}(M)\vert = \infty $; if $ M$ admits an orientation reversing involution $ \tau $, and $ M$ has a nontrivial finite cover, then some finite cover $ \tilde M$ of $ M$ has positive first Betti number.

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PII: S 0002-9939(1990)0977930-9
Article copyright: © Copyright 1990 American Mathematical Society

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