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

Abstract

We present a classification of fake lens spaces of dimension greater or equal to 5 which have as fundamental group the cyclic group of order N = 2^K, in that we extend the results of Wall and others in the case N=2.

34 pages, some improvements

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• ${\mathbb{Z}}_{/p}\times {\mathbb{Z}}_{/p}$ actions on $S^n\times S^n$