E∞-CELLS AND GENERAL LINEAR GROUPS OF FINITE FIELDS

Søren Galatius; Alexander Kupers; Oscar Randal-Williams

doi:10.24033/asens.2599

E∞-CELLS AND GENERAL LINEAR GROUPS OF FINITE FIELDS

Bidragets oversatte titel: E∞ -cellules et groupes généraux linéaires sur les corps finis

Søren Galatius, Alexander Kupers, Oscar Randal-Williams

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

22 Downloads (Pure)

Abstract

We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of E₈-algebras, guided by computations of homology with coefficients in the E₁-split Steinberg module.

Bidragets oversatte titel	E∞ -cellules et groupes généraux linéaires sur les corps finis
Originalsprog	Engelsk
Tidsskrift	Annales Scientifiques de l'Ecole Normale Superieure
Vol/bind	57
Udgave nummer	6
Sider (fra-til)	1845-1882
Antal sider	38
ISSN	0012-9593
DOI	https://doi.org/10.24033/asens.2599
Status	Udgivet - 2024

Bibliografisk note

Publisher Copyright:
© 2024 Société Mathématique de France. Tous droits réservés.

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title = "E∞-CELLS AND GENERAL LINEAR GROUPS OF FINITE FIELDS",

abstract = "We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of E8-algebras, guided by computations of homology with coefficients in the E1-split Steinberg module.",

author = "S{\o}ren Galatius and Alexander Kupers and Oscar Randal-Williams",

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AU - Kupers, Alexander

AU - Randal-Williams, Oscar

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AB - We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of E8-algebras, guided by computations of homology with coefficients in the E1-split Steinberg module.

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DO - 10.24033/asens.2599

M3 - Journal article

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EP - 1882

JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

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