Let m, n be positive integers, let υ be a multilinear commutator word and let w = υ^m . We prove that if G is a locally graded group in which all w-values are n-Engel, then the verbal subgroup w(G) is locally nilpotent.
On locally graded groups with a word whose values are Engel
TORTORA, ANTONIO;TOTA, Maria
2016-01-01
Abstract
Let m, n be positive integers, let υ be a multilinear commutator word and let w = υ^m . We prove that if G is a locally graded group in which all w-values are n-Engel, then the verbal subgroup w(G) is locally nilpotent.File in questo prodotto:
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