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Subgroups of the elementary and Steinberg groups of congruence level \(I^ 2\)

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Publication:801030
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DOI10.1016/0022-4049(85)90035-0zbMath0552.18006OpenAlexW2012927486MaRDI QIDQ801030

Charles A. Weibel, Susan C. Geller

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90035-0


zbMATH Keywords

algebraic K-theorycongruence level subgroupelementary grouprelative Steinberg group


Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Grothendieck groups, (K)-theory and commutative rings (13D15)


Related Items (4)

The commutators of classical groups ⋮ Linear groups over general rings. I: Generalities. ⋮ Multiple commutators of elementary subgroups: end of the line ⋮ The yoga of commutators: further applications.



Cites Work

  • Localization of the K-theory of polynomial extensions
  • \(K_2,K_3\) and nilpotent ideals
  • Cohomologie et groupe de Steinberg rélatifs
  • The relativization of \(K_2\)
  • \(K_2(A[X,Y/XY)\), a problem of Swan, and related computations]
  • Excision in algebraic \(K\)-theory
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