Locally Graded n-Bell Groups

Autor: Asadollah Faramarzi Salles
Rok vydání: 2016
Předmět:
Zdroj: Algebra Colloquium. 23:423-425
ISSN: 0219-1733
1005-3867
DOI: 10.1142/s1005386716000407
Popis: Let n ≠ 0, 1 be an integer and [Formula: see text] be the variety of n-Bell groups defined by the law [xn,y][x,yn]-1 = 1. Let [Formula: see text] 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 [Formula: see text], where [Formula: see text] and [Formula: see text] are the classes of all finite groups and all locally graded groups, respectively.
Databáze: OpenAIRE