A formula for $p$-completion by way of the Segal conjecture
Algebraic Topology
2022-01-11 v3 Group Theory
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.
Keywords
Cite
@article{arxiv.1704.00271,
title = {A formula for $p$-completion by way of the Segal conjecture},
author = {Sune Precht Reeh and Tomer M. Schlank and Nathaniel Stapleton},
journal= {arXiv preprint arXiv:1704.00271},
year = {2022}
}
Comments
28 pages. Edited for clarity