Algebraic & Geometric Topology

On fake lens spaces with fundamental group of order a power of $2$

Tibor Macko and Christian Wegner

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We present a classification of fake lens spaces of dimension 5 which have as fundamental group the cyclic group of order N=2K, which extends the results of Wall and others in the case N=2.

Article information

Algebr. Geom. Topol., Volume 9, Number 3 (2009), 1837-1883.

Received: 25 August 2008
Revised: 9 July 2009
Accepted: 30 August 2009
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R65: Surgery and handlebodies 57S25: Groups acting on specific manifolds

lens space structure set $\rho$–invariant normal invariants surgery


Macko, Tibor; Wegner, Christian. On fake lens spaces with fundamental group of order a power of $2$. Algebr. Geom. Topol. 9 (2009), no. 3, 1837--1883. doi:10.2140/agt.2009.9.1837.

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