Locally Graded n-Bell Groups
Autor: | Asadollah Faramarzi Salles |
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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 |
Externí odkaz: |