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Two remarks on Wall's D2 problem
Published online by Cambridge University Press: 25 May 2018
Abstract
If a finite group G is isomorphic to a subgroup of SO(3), then G has the D2-property. Let X be a finite complex satisfying Wall's D2-conditions. If π1(X) = G is finite, and χ(X) ≥ 1 − def(G), then X ∨ S2 is simple homotopy equivalent to a finite 2-complex, whose simple homotopy type depends only on G and χ(X).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 2 , September 2019 , pp. 361 - 368
- Copyright
- Copyright © Cambridge Philosophical Society 2018
Footnotes
Research partially supported by NSERC Discovery Grant A4000.
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