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- W2041857150 abstract "Let w be a word in the free group on the set {x 1 , …, x n } and let [Formula: see text] be the variety of groups defined by the law w = 1. Define [Formula: see text], to be the class of all groups G in which for all infinite subsets Y 1 , …, Y n , there exist y i ∈ Y i such that w(y 1 , …, y n ) = 1 and define [Formula: see text] (respectively [Formula: see text]) to be the class of all groups G in which for all infinite subset Y (respectively for all m-element subset Y) there exist n distinct elements y 1 , …, y n ∈ Y, such that w(y 1 , …, y n ) = 1. In this paper we prove that [Formula: see text] and [Formula: see text] for some positive integer m, where w is a certain word and [Formula: see text] is the class of finite groups." @default.
- W2041857150 created "2016-06-24" @default.
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- W2041857150 date "2009-12-01" @default.
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- W2041857150 title "A COMBINATORIAL PROPERTY OF BURNSIDE VARIETY OF GROUPS OF FINITE EXPONENT" @default.
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- W2041857150 doi "https://doi.org/10.1142/s0219498809003680" @default.
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