Geodesic
Periodic locally nilpotent groups of finite $c$-dimension
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1100-1105

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According to Bryant's theorem a periodic locally nilpotent group satisfying minimal condition on centralizers is virtually nilpotent. The $c$-dimension of a group is the supremum of lengths of chains of centralizers. We bound the index of the nilpotent radical of a locally nilpotent $p$-group of finite $c$-dimension $k$ in terms of $k$ and $p$.
Keywords: periodic locally nilpotent group, locally nilpotent $p$-group.
Mots-clés : $c$-dimension 
@article{SEMR_2020_17_a27,
     author = {A. A. Buturlakin and I. E. Devyatkova},
     title = {Periodic locally nilpotent groups of finite $c$-dimension},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1100--1105},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a27/}
}
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A. A. Buturlakin; I. E. Devyatkova. Periodic locally nilpotent groups of finite $c$-dimension. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1100-1105. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a27/