Two-Element Generation of Certain Classical Groups Over the Ring of Integer Numbers
Zhang Li-hong · Journal of China University of Mining and Technology · 2006
In this paper, two-element generation ot certain classical groups over the ring ot integer numbers was studied by algebraic method. The other elements were conjugated by a special element using Matrix forms in these groups. The results show that all of the symplectic group SP(2m,Z) of m≥4, the special linear group SL(m,Z) and the general linear group GL(m,Z) over the ring of integer numbers can be generated by two elements, and the generated elements were given.