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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageAmerican English
Article number108255
JournalTopology and its Applications
Volume322
DOIs
StatePublished - 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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