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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ 3$-manifold groups with the finitely generated intersection property


Author: Teruhiko Soma
Journal: Trans. Amer. Math. Soc. 331 (1992), 761-769
MSC: Primary 57M05; Secondary 30F40, 57N10
MathSciNet review: 1042289
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Abstract: In this paper, first we consider whether the fundamental groups of certain geometric $ 3$-manifolds have FGIP or not. Next we give the sufficient conditions that FGIP for $ 3$-manifold groups is preserved under torus sums or annulus sums and connect this result with a conjecture by Hempel $ [4]$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1042289-4
PII: S 0002-9947(1992)1042289-4
Article copyright: © Copyright 1992 American Mathematical Society