The fundamental group of the general linear group

DOI10.1016/0021-8693(77)90323-4zbMath0409.20039OpenAlexW1973730415MaRDI QIDQ1258832

Jan R. Strooker

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90323-4

zbMATH Keywords

Algebraic K-TheoryFundamental GroupGeneral Linear Group

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Cohomology theory for linear algebraic groups (20G10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (6)

Zero-dimensionality and the \(GE_ 2\) of polynomial rings ⋮ K-theory and analytic isomorphisms ⋮ Linear groups ⋮ Algebraic K-theory ⋮ Steinberg groups for Jordan pairs: an introduction with open problems ⋮ On the homotopy groups of algebraic groups

Cites Work

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• Injective stability for 𝐾₂ of local rings
• A presentation for some 𝐾₂(𝑛,𝑅)
• Introduction to Algebraic K-Theory. (AM-72)
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
• On the K ₂ of a Free Associative Algebra
• Surjective Stability in Dimension 0 for K 2 and Related Functors
• Excision in algebraic \(K\)-theory

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