On left Engel elements of a group relative to a subgroup of certain linear groups

S. G. Quek; K. B. Wong; P. C. Wong

doi:10.1016/j.jpaa.2012.06.029

On left Engel elements of a group relative to a subgroup of certain linear groups

S. G. Quek, K. B. Wong, P. C. Wong

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

Let X be a subset of a group G. An element g∈G is called a X-relative left Engel element of G, if for each x∈X, there is a positive integer n=n(g, x) such that [x, _ng]=1. In this paper, we will study the set of X-relative left Engel elements when X is a subgroup of certain linear groups.

Original language	English
Pages (from-to)	427-431
Number of pages	5
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	3
DOIs	https://doi.org/10.1016/j.jpaa.2012.06.029
Publication status	Published - Mar 2013
Externally published	Yes

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10.1016/j.jpaa.2012.06.029

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title = "On left Engel elements of a group relative to a subgroup of certain linear groups",

abstract = "Let X be a subset of a group G. An element g∈G is called a X-relative left Engel element of G, if for each x∈X, there is a positive integer n=n(g, x) such that [x, ng]=1. In this paper, we will study the set of X-relative left Engel elements when X is a subgroup of certain linear groups.",

author = "Quek, \{S. G.\} and Wong, \{K. B.\} and Wong, \{P. C.\}",

year = "2013",

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doi = "10.1016/j.jpaa.2012.06.029",

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journal = "Journal of Pure and Applied Algebra",

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T1 - On left Engel elements of a group relative to a subgroup of certain linear groups

AU - Quek, S. G.

AU - Wong, K. B.

AU - Wong, P. C.

PY - 2013/3

Y1 - 2013/3

N2 - Let X be a subset of a group G. An element g∈G is called a X-relative left Engel element of G, if for each x∈X, there is a positive integer n=n(g, x) such that [x, ng]=1. In this paper, we will study the set of X-relative left Engel elements when X is a subgroup of certain linear groups.

AB - Let X be a subset of a group G. An element g∈G is called a X-relative left Engel element of G, if for each x∈X, there is a positive integer n=n(g, x) such that [x, ng]=1. In this paper, we will study the set of X-relative left Engel elements when X is a subgroup of certain linear groups.

UR - https://www.scopus.com/pages/publications/84867025763

U2 - 10.1016/j.jpaa.2012.06.029

DO - 10.1016/j.jpaa.2012.06.029

M3 - Article

AN - SCOPUS:84867025763

SN - 0022-4049

VL - 217

SP - 427

EP - 431

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -

On left Engel elements of a group relative to a subgroup of certain linear groups

Abstract

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