Centric linking systems of locally finite groups - Archive ouverte HAL
Article Dans Une Revue Topology and its Applications Année : 2022

Centric linking systems of locally finite groups

Rémi Molinier

Résumé

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 finiteness condition on the set of intersections of Sylow p-subgroups, 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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Dates et versions

hal-04686745 , version 1 (09-09-2024)

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Rémi Molinier. Centric linking systems of locally finite groups. Topology and its Applications, 2022, 312, pp.108082. ⟨10.1016/j.topol.2022.108082⟩. ⟨hal-04686745⟩
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