TY - JOUR ID - 1686 TI - On the Schur pair of groups JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Alizadeh Sanati, Mahboubeh AD - Department of mathematics, Faculty of Sciences, Golestan University, Gorgan. Y1 - 2020 PY - 2020 VL - 7 IS - 1 SP - 41 EP - 47 KW - Baer-invariant of groups KW - Class of groups KW - Schur pair property KW - Variety of groups DO - 10.22034/as.2020.1686 N2 - 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. UR - https://as.yazd.ac.ir/article_1686.html L1 - https://as.yazd.ac.ir/article_1686_354df22c5037c7fc7aaee99df8987e37.pdf ER -