چكيده فارسي :
Let $G$ be a finite group and the Bogomolov multiplier $B_0(G)$ of $G$ is defined as the subgroup of the Schur multiplier $H^2(G,{\Bbb{Q}}/{\Bbb{Z}})$ consisting of the cohomology classes whose restriction to all abelian subgroups of $G$ are zero. The triviality of the Bogomolov multiplier is an obstruction to classical Noether s problem over $\Bbb{C}$. After introduce the concept curly exterior product , Moravec in [4] recomends a new definition for Bogomolov multiplier and here, we show some properties of curly exterior product of groups, describe Bogomolov multiplier for $2$-generator $p$-groups of nilpotency class $2$ and also, classify all non abelian groups of order $p^7$ and exponent $p$ with trivial Bogomolov multiplier for any prime $p 3$.
