用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中...用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中.NB成员的次直积分解与坚固构架之间的密切联系。展开更多
In this paper,we obtain the factorization of direct production and order of group GL(n,Z_m) in a simple method.Then we generalize some properties of GL(2,Z_p) proposed by Huppert,and prove that the group GL(2,Z_...In this paper,we obtain the factorization of direct production and order of group GL(n,Z_m) in a simple method.Then we generalize some properties of GL(2,Z_p) proposed by Huppert,and prove that the group GL(2,Z_z^y) is solvable.We also prove that group GL(n,Z_p)is solvable if and only if GL(n,Z_p) is solvable,and list the generators of groups GL(n,Z_p) and SL(n,Z_p).At last,we prove that PSL(2,Z_p)( p〉3) and PSL(n,Z_p) ( n〉3) are simple.展开更多
文摘用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中.NB成员的次直积分解与坚固构架之间的密切联系。
文摘In this paper,we obtain the factorization of direct production and order of group GL(n,Z_m) in a simple method.Then we generalize some properties of GL(2,Z_p) proposed by Huppert,and prove that the group GL(2,Z_z^y) is solvable.We also prove that group GL(n,Z_p)is solvable if and only if GL(n,Z_p) is solvable,and list the generators of groups GL(n,Z_p) and SL(n,Z_p).At last,we prove that PSL(2,Z_p)( p〉3) and PSL(n,Z_p) ( n〉3) are simple.