On the structure of right 3-Engel subgroups

Reference:

Crosby, P. G., 2012. On the structure of right 3-Engel subgroups. Journal of Algebra, 365 (1), pp. 205-220.

Official URL:

http://dx.doi.org/10.1016/j.jalgebra.2011.12.031

Abstract

We state and prove two sharp results on the structure of normal subgroups consisting of right 3-Engel elements. First we prove that if H is a 3-torsion-free such subgroup of a group G and x ∈ G, then [H, 4〈 x 〉 G] = {1}. When H is additionally {2, 5}-torsion-free, we prove that [H, 8G] = {1}.

Details

Item Type	Articles
Creators	Crosby, P. G.
DOI	10.1016/j.jalgebra.2011.12.031
Departments	Faculty of Science > Mathematical Sciences
Publisher Statement	Crosby_JoA_2012_365_1_205.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, vol 355, issue 1, DOI 10.1016/j.jalgebra.2011.12.031
Refereed	Yes
Status	Published
ID Code	28886