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arXiv · 1702.03995

Centric linking systems of locally finite groups

Rémi Molinier
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Abstract

These notes are defining the notion of centric linking system for a locally finite group If a locally finite group $G$ has countable Sylow $p$-subgroups, we prove that, with a countable condition on the set of intersections, the $p$-completion of its classifying space is homotopy equivalent to the $p$-completion of the nerve of its centric linking system.

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Rémi Molinier. 2017-02-13. Centric linking systems of locally finite groups. https://arxiv.org/abs/1702.03995

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