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- Title
ON A PROBLEM OF P. HALL FOR ENGEL WORDS II.
- Authors
RUSSO, FRANCESCO G.
- 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 $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}n$-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 $E^*_4(G)$.
- Subjects
COMMUTATORS (Operator theory); LINEAR operators; MOMENTUM commutator; MATHEMATICS theorems; FREE metabelian groups
- Publication
Bulletin of the Australian Mathematical Society, 2014, Vol 90, Issue 2, p237
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972714000094