【摘 要】
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Let G be a finite abelian p-group,F the maximal Z-order of Z[G].We prove that the 2-primary torsion subgroups of K2(Z[G]) and K2(Γ) are isomorphic when p =3,5,
【机 构】
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School of Mathematical Sciences, University of the Chinese Academy of Sciences Beijing 100049, China
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Let G be a finite abelian p-group,F the maximal Z-order of Z[G].We prove that the 2-primary torsion subgroups of K2(Z[G]) and K2(Γ) are isomorphic when p =3,5,7 (mod 8),and K2(Z[G]) (×)z Z[1/p] is isomorphic to K2(Γ) (×)z Z[1/p] when p =2,3,5,7.As an application,we give the structure of K2 (Z[G]) for G a cyclic p-group or an elementary abelian p-group.
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