On Hopkins' Picard groups for the prime 3 and chromatic level 2

Paul Goerss; Hans Werner Henn; Mark Mahowald; Charles Rezk

doi:10.1112/jtopol/jtu024

On Hopkins' Picard groups for the prime 3 and chromatic level 2

Paul Goerss, Hans Werner Henn, Mark Mahowald, Charles Rezk

Mathematics

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

Abstract

We give a calculation of Picard groups Pic₂ of K(2)-local invertible spectra and Pic(L₂) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculate the subgroup κ2 of invertible spectra X with (E₂)_*X ≅ (E₂)_*S⁰ as twisted modules over the Morava stabilizer group G₂.

Original language	English (US)
Pages (from-to)	267-294
Number of pages	28
Journal	Journal of Topology
Volume	8
Issue number	1
DOIs	https://doi.org/10.1112/jtopol/jtu024
State	Published - Sep 24 2013

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1112/jtopol/jtu024

Library availability

Discover UIUC Full Text

Cite this

@article{fe6c3e62b2584777bcf540ed9560c884,

title = "On Hopkins' Picard groups for the prime 3 and chromatic level 2",

abstract = "We give a calculation of Picard groups Pic2 of K(2)-local invertible spectra and Pic(L2) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculate the subgroup κ2 of invertible spectra X with (E2)*X ≅ (E2)*S0 as twisted modules over the Morava stabilizer group G2.",

author = "Paul Goerss and Henn, {Hans Werner} and Mark Mahowald and Charles Rezk",

note = "Publisher Copyright: {\textcopyright} 2015 London Mathematical Society.",

year = "2013",

month = sep,

day = "24",

doi = "10.1112/jtopol/jtu024",

language = "English (US)",

volume = "8",

pages = "267--294",

journal = "Journal of Topology",

issn = "1753-8416",

publisher = "John Wiley & Sons, Ltd.",

number = "1",

}

TY - JOUR

T1 - On Hopkins' Picard groups for the prime 3 and chromatic level 2

AU - Goerss, Paul

AU - Henn, Hans Werner

AU - Mahowald, Mark

AU - Rezk, Charles

PY - 2013/9/24

Y1 - 2013/9/24

N2 - We give a calculation of Picard groups Pic2 of K(2)-local invertible spectra and Pic(L2) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculate the subgroup κ2 of invertible spectra X with (E2)*X ≅ (E2)*S0 as twisted modules over the Morava stabilizer group G2.

AB - We give a calculation of Picard groups Pic2 of K(2)-local invertible spectra and Pic(L2) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculate the subgroup κ2 of invertible spectra X with (E2)*X ≅ (E2)*S0 as twisted modules over the Morava stabilizer group G2.

UR - http://www.scopus.com/inward/record.url?scp=84924585864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924585864&partnerID=8YFLogxK

U2 - 10.1112/jtopol/jtu024

DO - 10.1112/jtopol/jtu024

M3 - Article

AN - SCOPUS:84924585864

SN - 1753-8416

VL - 8

SP - 267

EP - 294

JO - Journal of Topology

JF - Journal of Topology

IS - 1

ER -

On Hopkins' Picard groups for the prime 3 and chromatic level 2

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this