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- W2159652512 abstract "Abstract A group G is locally graded if every finitely generated nontrivial subgroup of G has a nontrivial finite image. Let N (2, k )* denote the class of groups in which every infinite subset contains a pair of elements that generate a nilpotent subgroup of class at most k . We show that if G is a finitely generated locally graded N (2, k )*-group, then there is a positive integer c depending only on k such that G/Z c (G) is finite." @default.
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- W2159652512 date "2000-12-01" @default.
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- W2159652512 title "Locally graded groups with a nilpotency condition on infinite subsets" @default.
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- W2159652512 doi "https://doi.org/10.1017/s1446788700002536" @default.
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