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An indecomposable $\bm{PD_3}$-complex whose fundamental group has infinitely many ends
Published online by Cambridge University Press: 03 February 2005
Abstract
We show that $S_3*_{Z/2Z}S_3$ satisfies Turaev's criterion to be the fundamental group of an orientable $PD_3$-complex. Since this group has infinitely many ends but is indecomposable as a free product this provides a negative answer to a question of Wall.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 1 , January 2005 , pp. 55 - 57
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- 2005 Cambridge Philosophical Society
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