Centralizers in good groups are good

Tobias Barthel; Nathaniel Stapleton

doi:10.2140/agt.2016.16.1453

Centralizers in good groups are good

Tobias Barthel
, Nathaniel Stapleton

Mathematics

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

9 Scopus citations

Abstract

We modify transchromatic character maps of the second author to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.

Original language	English
Pages (from-to)	1453-1472
Number of pages	20
Journal	Algebraic and Geometric Topology
Volume	16
Issue number	3
DOIs	https://doi.org/10.2140/agt.2016.16.1453
State	Published - Jul 1 2016

Bibliographical note

Publisher Copyright:
© 2016, Mathematical Sciences Publishers. All rights reserved.

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	0943787

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.2140/agt.2016.16.1453

Cite this

@article{c5ef0477b8f648c5a9b4fd7135e2c3c9,

title = "Centralizers in good groups are good",

abstract = "We modify transchromatic character maps of the second author to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.",

author = "Tobias Barthel and Nathaniel Stapleton",

year = "2016",

month = jul,

day = "1",

doi = "10.2140/agt.2016.16.1453",

language = "English",

volume = "16",

pages = "1453--1472",

number = "3",

}

TY - JOUR

T1 - Centralizers in good groups are good

AU - Barthel, Tobias

AU - Stapleton, Nathaniel

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We modify transchromatic character maps of the second author to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.

AB - We modify transchromatic character maps of the second author to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion. As an application we prove that centralizers of tuples of commuting prime-power order elements in good groups are good and we compute a new example.

UR - https://www.scopus.com/pages/publications/84979009401

UR - https://www.scopus.com/pages/publications/84979009401#tab=citedBy

U2 - 10.2140/agt.2016.16.1453

DO - 10.2140/agt.2016.16.1453

M3 - Article

AN - SCOPUS:84979009401

SN - 1472-2747

VL - 16

SP - 1453

EP - 1472

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 3

ER -

Centralizers in good groups are good

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this