We present a classification of fake lens spaces of dimension which have as fundamental group the cyclic group of order , which extends the results of Wall and others in the case .
"On fake lens spaces with fundamental group of order a power of $2$." Algebr. Geom. Topol. 9 (3) 1837 - 1883, 2009. https://doi.org/10.2140/agt.2009.9.1837