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

Sune Precht Reeh; Tomer M. Schlank; Nathaniel Stapleton

doi:10.1016/j.topol.2022.108255

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

Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	108255
Journal	Topology and its Applications
Volume	322
DOIs	https://doi.org/10.1016/j.topol.2022.108255
State	Published - 1 Dec 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Burnside ring
Fusion systems
Segal conjecture
Spectra
p-completion

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10.1016/j.topol.2022.108255

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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.",

keywords = "Burnside ring, Fusion systems, Segal conjecture, Spectra, p-completion",

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KW - Burnside ring

KW - Fusion systems

KW - Segal conjecture

KW - Spectra

KW - p-completion

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

Abstract

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Keywords

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