Geodesic
On a Property of Nilpotent Groups
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 174-177

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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.
DOI : 10.4153/CMB-1994-026-9
Mots-clés : 20D15 
Dokuchaev, Michael. On a Property of Nilpotent Groups. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 174-177. doi: 10.4153/CMB-1994-026-9
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     title = {On a {Property} of {Nilpotent} {Groups}},
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     year = {1994},
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     number = {2},
     doi = {10.4153/CMB-1994-026-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-026-9/}
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