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arXiv · 1503.01987

Partial Euler Characteristic, Normal Generations and the stable D(2) problem

Feng Ji·Shengkui Ye
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Abstract

We study the interplay among Wall's $D(2)$ problem, normal generation conjecture (the Wiegold Conjecture) of perfect groups and Swan's problem on partial Euler characteristic and deficiency of groups. In particular, for a 3-dimensional complex $X$ of cohomological dimension 2 with a finite fundamental group, assuming the Wiegold conjecture holds, we prove that X is homotopy equivalent to a finite 2-complex after wedging a copy of sphere $S^2$.

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Feng Ji, Shengkui Ye. 2015-03-06. Partial Euler Characteristic, Normal Generations and the stable D(2) problem. https://arxiv.org/abs/1503.01987

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