Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y ...Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y such that [xn,y][x,yn]-1 = 1. In this paper we prove Bn ∩ L： = （Bn U F） M ∩L：, where F and L are the classes of all finite groups and all locally graded groups, respectively.展开更多
文摘Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y such that [xn,y][x,yn]-1 = 1. In this paper we prove Bn ∩ L： = （Bn U F） M ∩L：, where F and L are the classes of all finite groups and all locally graded groups, respectively.
