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arXiv · 1704.00271

A formula for $p$-completion by way of the Segal conjecture

Sune Precht Reeh·Tomer M. Schlank·Nathaniel Stapleton
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Abstract

The Segal conjecture describes stable maps between classifying spaces in terms of (virtual) bisets for the finite groups in question. Along these lines, we give an algebraic formula for the p-completion functor applied to stable maps between classifying spaces purely in terms of fusion data and Burnside modules.

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Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton. 2017-04-02. A formula for $p$-completion by way of the Segal conjecture. https://arxiv.org/abs/1704.00271

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