<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.