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Two remarks on Wall's D2 problem

Published online by Cambridge University Press:  25 May 2018

IAN HAMBLETON
IAN HAMBLETON*
Affiliation:
Department of Mathematics & Statistics, McMaster University, Ontario L8S 4K1, Canada. e-mail: [email protected]
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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 

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Footnotes

†

Research partially supported by NSERC Discovery Grant A4000.

References

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