Geodesic
Partial Euler characteristic, normal generations and the stable $D(2)$ problem
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 105-114.

Voir la notice de l'article provenant de la source International Press of Boston

We study the interplay among Wall’s $D(2)$ problem, the 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 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 $S^2$.
DOI : 10.4310/HHA.2018.v20.n2.a6
Classification : 57M05, 57M20
Keywords: $D(2)$ problem, cohomological dimensions, Quillen’s plus construction 
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     title = {Partial {Euler} characteristic, normal generations and the stable $D(2)$ problem},
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     pages = {105--114},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a6/}
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Feng Ji; Shengkui Ye. Partial Euler characteristic, normal generations and the stable $D(2)$ problem. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 105-114. doi : 10.4310/HHA.2018.v20.n2.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a6/

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