On The Unitriangular Group Over The Q_?

This article has some discussion around#12 and kij?Z if kij can be written as the product of prime powers,that is kij=p1e1p2e2…pnen,then there is at least one prime number pi(?)?ij.The first part discusses that the necessary and sufficient condition of the collec-tion G to be a group is that the element of any(ij)position in the matrix satis-fies(?)and kij divide all kilklj(1?i<l<j?n),ie(?)and kij divides all kilklj(1?i<l<j?n).Next,we discuss the necessary and sufficient condition for the upper and lower center columns of G to be coincident is(?)and kij=dij(m),2?m?ji.In the second part,we discussed the residual finiteness and divisibility of G.Necessary and sufficient conditions for the residual finiteness of group G:G residual finiteness if and only if each(?).The necessary and sufficient conditions for the divisibility of the group G:G is divisible if and only if each(?).In the third part,we discuss the structure of the automorphism group for group G when n=3,and conclude the following theorem:Theorem 11:Let G be the above group,Let H={??Aut(G)|?acting trival in G/((G)and ?(G)},then(i)H(?)Aut(G);And(1)if there is no relationship between ?ij,then ?utG/H(?)#12(2):If(?),then(?)(3):If(?),then(?)(?)H/InnG(?)Q?13×Q?13.