The reducibility of surgered 3-manifolds
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Nabil Sayari
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Article
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1998
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Elsevier Science
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English
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Suppose K(r) is reducible, by Theorem 3 of Gordon and Luecke, K(r) has a lens space as a connected summand. We will show that if the order of the fundamental group of the lens space is r then K(r) is the connected sum of L(r, .) and an irreducible homology 3-sphere. 0 1998 Elsevier Science B.V.