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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

DOI: 10.2140/agt.2009.9.1837
Abstract

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.

Keywords

lens space, structure set, ρ–invariant, normal invariants, surgery
Mathematical Subject Classification

Primary: 57R65, 57S25
References
Publication

Received: 25 August 2008
Revised: 9 July 2009
Accepted: 30 August 2009
Published: 3 October 2009
Authors
Tibor Macko
Mathematisches Institut
Universität Münster
Einsteinstraße 62
Münster D-48149
Germany		 Matematický Ústav SAV
Štefánikova 49
Bratislava SK-81473
Slovakia
http://www.math.uni-muenster.de/u/macko
Christian Wegner
Mathematisches Institut
Universität Münster
Einsteinstraße 62
Münster D-48149
Germany