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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

JONATHAN A. HILLMAN
JONATHAN A. HILLMAN
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, NSW 2006, Australia. e-mail: john@maths.usyd.edu.au
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 1 , January 2005 , pp. 55 - 57
Copyright
2005 Cambridge Philosophical Society

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