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ISSN 1088-6850(e) ISSN 0002-9947(p)

On the homotopy of finite -complexes with polycyclic fundamental group

Author(s): Mihai Damian
Journal: Trans. Amer. Math. Soc. 361 (2009), 1791-1809.
MSC (2000): Primary 57R70, 55P15, 57Q10
Posted: October 30, 2008
MathSciNet review: 2465817
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Let be a finite connected CW-complex of dimension . If its fundamental group $\pi_1(X)$ is polycyclic of Hirsch number , we show that at least one homotopy group $\pi_{i}(X)$ is not finitely generated. If or the same conclusion holds unless is an Eilenberg-MacLane space $K(\pi_1(X),1)$ .

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