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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

Burnside ring
Fusion systems
Segal conjecture
Spectra
p-completion

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2022.108255

Cite this

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title = "A formula for p-completion by way of the Segal conjecture",

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",

author = "Reeh, {Sune Precht} and Schlank, {Tomer M.} and Nathaniel Stapleton",

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year = "2022",

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doi = "10.1016/j.topol.2022.108255",

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AU - Reeh, Sune Precht

AU - Schlank, Tomer M.

AU - Stapleton, Nathaniel

PY - 2022/12/1

Y1 - 2022/12/1

N2 - 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.

AB - 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.

KW - Burnside ring

KW - Fusion systems

KW - Segal conjecture

KW - Spectra

KW - p-completion

UR - http://www.scopus.com/inward/record.url?scp=85139738720&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2022.108255

DO - 10.1016/j.topol.2022.108255

M3 - مقالة

SN - 0166-8641

VL - 322

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 108255

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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