It is proved that neither G9(Q) nor G11(Q) is a subgroup of K2(Q)which confirms two special cases of a conjecture proposed by Browkin, J. (LectureNotes in Math., 966, Springer-Verlag, New York, Heidelberg, Berlin, 198...It is proved that neither G9(Q) nor G11(Q) is a subgroup of K2(Q)which confirms two special cases of a conjecture proposed by Browkin, J. (LectureNotes in Math., 966, Springer-Verlag, New York, Heidelberg, Berlin, 1982, 1-6).展开更多
The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K...The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups.展开更多
A method which can be used to determine the structures of 2-Sylow subgroups of K2OF for real quadratic fields F is given.By this method,the structures of the 2-Sylow subgroups of K2OF for some real quadratic fields ar...A method which can be used to determine the structures of 2-Sylow subgroups of K2OF for real quadratic fields F is given.By this method,the structures of the 2-Sylow subgroups of K2OF for some real quadratic fields are determined.The method here is suitable for the non-elementary Abelian case as well as the elementary Abelian case.展开更多
Let S be a formal matrix ring, T the subring consisting of all diagonal elements, I the set consisting of all off-diagonal elements. Then I is a split radical ideal under certain conditions. In this paper, we show tha...Let S be a formal matrix ring, T the subring consisting of all diagonal elements, I the set consisting of all off-diagonal elements. Then I is a split radical ideal under certain conditions. In this paper, we show that K2（S）≈ K2（T） G K2（S, I）, and a presentation of K2（S, I） is given.展开更多
文摘It is proved that neither G9(Q) nor G11(Q) is a subgroup of K2(Q)which confirms two special cases of a conjecture proposed by Browkin, J. (LectureNotes in Math., 966, Springer-Verlag, New York, Heidelberg, Berlin, 1982, 1-6).
文摘The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups.
基金Project supported by the National Natural Science Foundation of China.
文摘A method which can be used to determine the structures of 2-Sylow subgroups of K2OF for real quadratic fields F is given.By this method,the structures of the 2-Sylow subgroups of K2OF for some real quadratic fields are determined.The method here is suitable for the non-elementary Abelian case as well as the elementary Abelian case.
基金Supported by Natural Science Foundation of Anhui Department of Education (Grant No. KJ2008B240)supported by Natural Science Foundation of China (Grant No. 61170172)
文摘Let S be a formal matrix ring, T the subring consisting of all diagonal elements, I the set consisting of all off-diagonal elements. Then I is a split radical ideal under certain conditions. In this paper, we show that K2（S）≈ K2（T） G K2（S, I）, and a presentation of K2（S, I） is given.
