Group G_{n}^{3} and imaginary generators

In the present paper, we construct a monomorphism from (Artin) pure braid group $P{B}_n$ into a group, which is bigger' than $PB_{n}$. Roughly speaking, this mapping is defined on words of braids by adding new generators’ between generators of $P{B}_n$. By this mapping we can get a new invariant for classical braids. As one of application of this invariant, we will show examples, which are minimal words in $P{B}_n$ and the minimality can be shown by the invariant.