The Properties of U-group of Integers Modulo n
Ren Bei-shang · 2005
U-group, the group of units modulo n is a commutative multiplication group, it provides a convenient way to illustrate the algebraic ideas of groups and to clarify the distinction between internal and external direct products. The important equality U(st)=U_s(st)×U_t(st)U(t)U(s) which joins external direct products and internal direct products is proved. In this paper, the properties and deepen use of U-group is introduced, we prove a rather perfect result.