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, andK 1 (Aπ) andK 2 (Aπ) are finitely generated, thenE n (Aπ) andGL n (Aπ) are finitely presented.
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The Project supported by National Natural Science Foundation of China.
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Fuan, L. Finite presentability of Steinberg groups over group rings. Acta Mathematica Sinica 5, 297–301 (1989). https://doi.org/10.1007/BF02107706
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DOI: https://doi.org/10.1007/BF02107706