@article { author = {Alizadeh Sanati, Mahboubeh}, title = {On the Schur pair of groups}, journal = {Algebraic Structures and Their Applications}, volume = {7}, number = {1}, pages = {41-47}, year = {2020}, publisher = {Yazd University}, issn = {2382-9761}, eissn = {2423-3447}, doi = {10.22034/as.2020.1686}, abstract = {In this paper, it is shown that $ (\mathcal{V}, \mathfrak{X}) $ is a Schur pair if and only if the Baer-invariant of an $\mathfrak{X}$-group with respect to $ \mathcal{V}$ is an $\mathfrak{X}$-group. Also, it is proved that a locally $\mathfrak{X}$ class inherited the Schur  pair property of , whenever $\mathfrak{X}$ is closed with respect to forming subgroup, images and extensions of its members. Subsequently,  many interesting predicates  about some generalizations of Schur's theorem and Schur multiplier of groups will be concluded.}, keywords = {Baer-invariant of groups,Class of groups,Schur pair property,Variety of groups}, url = {https://as.yazd.ac.ir/article_1686.html}, eprint = {https://as.yazd.ac.ir/article_1686_354df22c5037c7fc7aaee99df8987e37.pdf} }