Finite Presentability of Steinberg Groups over Group Rings

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李福安
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<正> Let A be a finitely generated commutative -algebra with Krull dimension d,and let πbe an arbitrary finite group.It is proved that the Steinberg group St_n (Aπ) is finitely presented whenevern≥4.If,inaddition,n≥d+3,and K1(Aπ) and K2(Aπ)are finitely generated,then E_n(Aπ)and GL_n (Aπ) are finitely presented.
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页码:297 / 301
页数:5
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