Journal of Lie Theory

no. 1
Engel Marginal Subgroups in Pro-Lie Groups
Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 79-91
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.
DOI: 10.5802/jolt.1275
Classification: 22E20, 22E25, 22A05, 22C05
Keywords: Topological groups, Engel words, pro-Lie groups, nilpotent groups 
@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},
     doi = {10.5802/jolt.1275},
     zbl = {1545.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1275/}
}
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Y. Bavuma; F. G. Russo. Engel Marginal Subgroups in  Pro-Lie Groups. Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 79-91. doi: 10.5802/jolt.1275

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