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.
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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 |
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