On engel elements of a group relative to certain subgroup

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

doi:10.1080/00927872.2011.615875

On engel elements of a group relative to certain subgroup

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

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

4 Citations (Scopus)

Abstract

An element g in a group G is called a left Engel element of G, if for each x ∈ G, there is a positive integer n = n(g, x) such that (x,_n g) = 1. In this article, we will study a generalization of the left Engel elements and its connections with the generalized Hirsch-Plotkin and Baer radical.

Original language	English
Pages (from-to)	4693-4701
Number of pages	9
Journal	Communications in Algebra
Volume	40
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2011.615875
Publication status	Published - 2012
Externally published	Yes

Keywords

Baer radical
Hirsch-Plotkin radical
Left engel
Right engel

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10.1080/00927872.2011.615875

Cite this

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abstract = "An element g in a group G is called a left Engel element of G, if for each x ∈ G, there is a positive integer n = n(g, x) such that (x,n g) = 1. In this article, we will study a generalization of the left Engel elements and its connections with the generalized Hirsch-Plotkin and Baer radical.",

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AU - Quek, S. G.

AU - Wong, K. B.

AU - Wong, P. C.

PY - 2012

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N2 - An element g in a group G is called a left Engel element of G, if for each x ∈ G, there is a positive integer n = n(g, x) such that (x,n g) = 1. In this article, we will study a generalization of the left Engel elements and its connections with the generalized Hirsch-Plotkin and Baer radical.

AB - An element g in a group G is called a left Engel element of G, if for each x ∈ G, there is a positive integer n = n(g, x) such that (x,n g) = 1. In this article, we will study a generalization of the left Engel elements and its connections with the generalized Hirsch-Plotkin and Baer radical.

KW - Baer radical

KW - Hirsch-Plotkin radical

KW - Left engel

KW - Right engel

UR - https://www.scopus.com/pages/publications/84874298642

U2 - 10.1080/00927872.2011.615875

DO - 10.1080/00927872.2011.615875

M3 - Article

AN - SCOPUS:84874298642

SN - 0092-7872

VL - 40

SP - 4693

EP - 4701

JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

ER -

On engel elements of a group relative to certain subgroup

Abstract

Keywords

Access to Document

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