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arXiv · 1708.04707

Generalized Gottlieb and Whitehead center groups of space forms

Marek Golasiński·Thiago de Melo
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Abstract

We extend the Oprea's result $G_1(\mathbb{S}^{2n+1}/H)=\mathcal{Z}H$ to the 1st generalized Gottlieb group $G_1^f(\mathbb{S}^{2n+1}/H)$ for a map $f\colon A\to \mathbb{S}^{2n+1}/H$. Then, we compute or estimate the groups $G_m^f(\mathbb{S}^{2n+1}/H)$ and $P_m^f(\mathbb{S}^{2n+1}/H)$ for some $m>1$ and finite groups $H$.

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Marek Golasiński, Thiago de Melo. 2017-08-15. Generalized Gottlieb and Whitehead center groups of space forms. https://arxiv.org/abs/1708.04707

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