Two remarks on Wall's D2 problem Academic Article uri icon

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abstract

  • AbstractIf 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 XS2 is simple homotopy equivalent to a finite 2-complex, whose simple homotopy type depends only on G and χ(X).

publication date

  • September 2019