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In the present paper, we construct a monomorphism from (Artin) pure braidgroup $PB_{n}$ into a group, which is `bigger' than $PB_{n}$. Roughly speaking,this mapping is defined on words of braids by adding `new generators' betweengenerators of $PB_{n}$. By this mapping we can get a new invariant forclassical braids. As one of application of this invariant, we will showexamples, which are minimal words in $PB_{n}$ and the minimality can be shownby the invariant.

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