A Constructive Approach to Zel'manov's Global Nilpotency Theorem for n-Engel Lie Algebras Over a Field of Characteristic Zero-Reference-Cited by-同舟云学术

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A Constructive Approach to Zel'manov's Global Nilpotency Theorem for n-Engel Lie Algebras Over a Field of Characteristic Zero

Published:1998-06 Issue:03 Volume:08 Page:317-326
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Traustason Gunnar¹

Affiliation:

1. Christ Church, Oxford OX1 1DP, England

Abstract

We obtain an explicit bound for the nilpotency class of n-Engel Lie algebras of characteristic zero.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196798000168

Reference11 articles.

1. Periodic groups and Lie algebras

2. A nonsolvable group of exponent 5

3. A nilpotent quotient algorithm for graded Lie rings

4. Lie rings satisfying the Engel condition

Cited by 2 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. Some Thoughts on the Current State of the Theory of Identical Relations in Lie Algebras;Springer INdAM Series;2020-11-27

2. Each semipolynomial on a group is a polynomial;Journal of Mathematical Analysis and Applications;2019-11

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