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
Pages (from-to)522-536
Number of pages15
JournalTopology and its Applications
Volume196
DOIs
Publication statusPublished - 2015 Dec

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

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