On a problem of P. Hall for Engel words II

Authors

  • F. G. Russo Universit\'a Degli Studi di Palermo

Keywords:

3--Engel groups, 4--Engel groups, marginal subgroups, commutators

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 \(E^*_4(G)\). DOI: 10.1017/S0004972714000094

Author Biography

F. G. Russo, Universit\'a Degli Studi di Palermo

DEIM; Assistant Professor

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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