Acta Mathematica Sinica

, Volume 5, Issue 4, pp 297–301 | Cite as

Finite presentability of Steinberg groups over group rings

  • Li Fuan
Article
Received:

Abstract

LetA be a finitely generated commutative ℤ-algebra with Krull dimensiond, and letπ be an arbitrary finite group. It is proved that the Steinberg groupSt n (Aπ) is finitely presented whenevern⩾4. If, in addition,n⩽d+3, andK1(Aπ) andK2(Aπ) are finitely generated, thenE n (Aπ) andGL n (Aπ) are finitely presented.

Keywords

Finite Group Group Ring Finite Presentability Steinberg Group Arbitrary Finite Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Li Fuan
    • 1
  1. 1.Institute of MathematicsAcademia SinicaChina

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