Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent-Reference-Cited by-同舟云学术

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Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

Published:2020-10-24 Issue:01 Volume:31 Page:135-160
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Hadjievangelou Anastasia¹,Noce Marialaura¹,Traustason Gunnar¹

Affiliation:

1. Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK

Abstract

For any odd prime [Formula: see text], we give an example of a locally finite [Formula: see text]-group [Formula: see text] containing a left 3-Engel element [Formula: see text] where [Formula: see text] is not nilpotent.

Funder

EPSRC

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196721500077

Reference13 articles.

1. Engelsche Elemente Noetherscher Gruppen

2. The Engel elements of a soluble group

3. Eine Bemerkung �ber engelsche Elemente

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Powerful 3-Engel groups;Journal of Pure and Applied Algebra;2024-07

2. Sandwich groups and (strong) left 3-Engel elements in groups;P AM MATH SOC;2023-10-16

3. Left 3-Engel elements in locally finite 2-groups;Communications in Algebra;2021-06-05

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