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

Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton

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

Keywords

  • Burnside ring
  • Fusion systems
  • Segal conjecture
  • Spectra
  • p-completion

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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