On the Structures of K2(Z[G]), G a Finite Abelian p-Group

• 来源期刊: 代数集刊（英文版）
• 关键词: algebraic K-theory K2-group integral group ring
• 年，卷（期）: 2019,（1）
• 页码范围: 105-112
• 页数: 8页
• 语种: 英文
• DOI: 10.1142/S1005386719000105

摘要

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.