The present paper is related to some recent studies in Abdollahi and Russo [On a problem of P. Hall for Engel words, Arch. Math. (Basel) 97 (2011), 407–412] and Fernández-Alcober et al. [A note on conciseness of Engel words, Comm. Algebra 40 (2012), 2570–2576] on the position of the $n$-Engel marginal subgroup $E^*_n(G)$ of a group $G$, when $n=3,4$. Describing the size of $E^*_n(G)$ for $n=3,4$, we show some generalisations of classical results on the partial margins of $E^*_3(G) $ and $E^*_4(G) $.
On a problem of P. Hall for Engel words II
Russo F
Primo
2014-01-01
Abstract
The present paper is related to some recent studies in Abdollahi and Russo [On a problem of P. Hall for Engel words, Arch. Math. (Basel) 97 (2011), 407–412] and Fernández-Alcober et al. [A note on conciseness of Engel words, Comm. Algebra 40 (2012), 2570–2576] on the position of the $n$-Engel marginal subgroup $E^*_n(G)$ of a group $G$, when $n=3,4$. Describing the size of $E^*_n(G)$ for $n=3,4$, we show some generalisations of classical results on the partial margins of $E^*_3(G) $ and $E^*_4(G) $.File in questo prodotto:
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