On the Schur multipliers of Chevalley groups over commutative rings

DOI10.1007/BF01322610zbMath0339.18007OpenAlexW2081933176MaRDI QIDQ1230842

Wilberd van der Kallen, Michael R. Stein

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172546

Mathematics Subject Classification ID

Cohomology of groups (20J06) Projective representations and multipliers (20C25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Linear algebraic groups over adèles and other rings and schemes (20G35)

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Calculations in exceptional groups over rings., On centrality of even orthogonal \(\mathrm{K}_2\), Algebraic K-theory, Another presentation for symplectic Steinberg groups

Cites Work

• The Schur multipliers of \(SL(3,Z)\) and \(SL(4,Z)\)
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• The Schur multiplier of a semi-direct product
• Schur Multipliers of Finite Simple Groups of Lie Type
• Introduction to Algebraic K-Theory. (AM-72)
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
• Schur multipliers of the known finite simple groups
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