#### Volume 9, issue 3 (2009)

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

### Tibor Macko and Christian Wegner

Algebraic & Geometric Topology 9 (2009) 1837–1883
##### Abstract

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

##### Keywords
lens space, structure set, $\rho$–invariant, normal invariants, surgery
##### Mathematical Subject Classification 2000
Primary: 57R65, 57S25