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On a Property of Nilpotent Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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Let g be an element of a group G and [g, G] = 〈g-1a-1ga | a ∊ G〉. We prove that if G is locally nilpotent then for each g,t ∊ G either g[g, G] = t[t, G] or g[g, G] ∩ t[t, G] = Ø. The converse is true if G is finite.
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- Research Article
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- Copyright © Canadian Mathematical Society 1994
References
1.
Dokuchaev, M. A., Torsion units in integral group rings of nilpotent metabelian groups, Commun. Algebra (2) 20(1992), 423–435.Google Scholar
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