Geodesic
Engel Marginal Subgroups in Pro-Lie Groups
Journal of Lie Theory, Tome 33 (2023) no. 1, pp. 79-91

Voir la notice de l'article provenant de la source Heldermann Verlag

Zbl

The position of the n-Engel marginal and verbal subgroups is placed between appropriate terms of the (upper or lower) central series of an abstract group, when n is small enough. In case of compact (Hausdorff) groups, the presence of a topological structure allows us to consider larger values of n, again controlling very well the position of these subgroups with respect to the terms of the central series. We observe a similar behaviour in the wider context of pro-Lie groups.
Classification : 22E20, 22E25, 22A05, 22C05
Mots-clés : Topological groups, Engel words, pro-Lie groups, nilpotent groups 
Y. Bavuma; F. G. Russo. Engel Marginal Subgroups in  Pro-Lie Groups. Journal of Lie Theory, Tome 33 (2023) no. 1, pp. 79-91. http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a3/
@article{JOLT_2023_33_1_a3,
     author = {Y. Bavuma and F. G. Russo},
     title = {Engel {Marginal} {Subgroups} in  {Pro-Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {79--91},
     year = {2023},
     volume = {33},
     number = {1},
     zbl = {1545.22005},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a3/}
}
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