Left 3-Engel elements in groups of exponent 60

Gunnar Traustason; Gareth Tracey

doi:10.1142/S0218196718500303

Left 3-Engel elements in groups of exponent 60

Gunnar Traustason
, Gareth Tracey

Department of Mathematical Sciences

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

7 Citations (SciVal)

106 Downloads (Pure)

Abstract

Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In particular, all the left 3-Engel elements of a group of exponent 60 are contained in the locally nilpotent radical.

Original language	English
Pages (from-to)	673-695
Number of pages	23
Journal	International Journal of Algebra and Computation
Volume	28
Issue number	4
Early online date	15 May 2018
DOIs	https://doi.org/10.1142/S0218196718500303
Publication status	Published - 1 Jun 2018

Keywords

Left engel
Nilpotent
Presentation

ASJC Scopus subject areas

General Mathematics

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10.1142/S0218196718500303

L3Engel2
Electronic version of an article published as International Journal of Algebra and Computation, Online Ready, https://doi.org/10.1142/S0218196718500303 © World Scientific Publishing Company. https://www.worldscientific.com/worldscinet/ijac
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Cite this

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AB - Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In particular, all the left 3-Engel elements of a group of exponent 60 are contained in the locally nilpotent radical.

KW - Left engel

KW - Nilpotent

KW - Presentation

UR - https://www.scopus.com/pages/publications/85049398437

U2 - 10.1142/S0218196718500303

DO - 10.1142/S0218196718500303

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JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

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ER -

Left 3-Engel elements in groups of exponent 60

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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