Cohomology of classifying spaces of loop groups and finite Chevalley groups associated with spin groups

Research output: Contribution to journalArticle

Abstract

Let q be a power of an odd prime p and Fq be the finite field with q elements. For n≥3, we prove the mod 2 cohomology of the finite Chevalley group Spinn(Fq) is isomorphic to that of the classifying space of the loop group of the spin group Spin(n).

Original languageEnglish
JournalTopology and its Applications
DOIs
Publication statusAccepted/In press - 2014 Jan 6

Keywords

  • Classifying space
  • Cohomology
  • Finite Chevalley group
  • Free loop space
  • Loop group

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

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title = "Cohomology of classifying spaces of loop groups and finite Chevalley groups associated with spin groups",
abstract = "Let q be a power of an odd prime p and Fq be the finite field with q elements. For n≥3, we prove the mod 2 cohomology of the finite Chevalley group Spinn(Fq) is isomorphic to that of the classifying space of the loop group of the spin group Spin(n).",
keywords = "Classifying space, Cohomology, Finite Chevalley group, Free loop space, Loop group",
author = "Masaki Kameko",
year = "2014",
month = "1",
day = "6",
doi = "10.1016/j.topol.2015.05.031",
language = "English",
journal = "Topology and its Applications",
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publisher = "Elsevier",

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KW - Cohomology

KW - Finite Chevalley group

KW - Free loop space

KW - Loop group

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