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

研究成果: Article

抄録

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).

元の言語English
ジャーナルTopology and its Applications
DOI
出版物ステータスAccepted/In press - 2014 1 6

ASJC Scopus subject areas

  • Geometry and Topology

これを引用

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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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AB - 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).

KW - Classifying space

KW - Cohomology

KW - Finite Chevalley group

KW - Free loop space

KW - Loop group

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