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

Gunnar Traustason; Marialaura Noce; Anastasia Hadjievangelou

doi:10.1142/S0218196721500077

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

Gunnar Traustason
, Marialaura Noce
, Anastasia Hadjievangelou

Department of Mathematical Sciences

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

4 Citations (SciVal)

131 Downloads (Pure)

Abstract

For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not nilpotent.

Original language	English
Pages (from-to)	135-160
Journal	International Journal of Algebra and Computation
Volume	31
Issue number	1
Early online date	24 Oct 2020
DOIs	https://doi.org/10.1142/S0218196721500077
Publication status	Published - 31 Dec 2020

Access to Document

10.1142/S0218196721500077

LocpL3Engel.pdf
Electronic version of an article published as International Journal of Algebra and Computation, 2020 10.1142/S0218196721500077 © [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/abs/10.1142/S0218196721500077
Accepted author manuscript, 385 KB

Left 3-Engel Elements in Groups
Traustason, G. (PI)
EPSRC
1/08/17 → 31/05/22
Project: Research council

Cite this

@article{69bcddf125c24cdba0ce16c11d8ccd9d,

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

abstract = "For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not nilpotent.",

author = "Gunnar Traustason and Marialaura Noce and Anastasia Hadjievangelou",

year = "2020",

month = dec,

day = "31",

doi = "10.1142/S0218196721500077",

language = "English",

volume = "31",

pages = "135--160",

journal = "International Journal of Algebra and Computation",

issn = "0218-1967",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

AU - Traustason, Gunnar

AU - Noce, Marialaura

AU - Hadjievangelou, Anastasia

PY - 2020/12/31

Y1 - 2020/12/31

N2 - For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not nilpotent.

AB - For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not nilpotent.

U2 - 10.1142/S0218196721500077

DO - 10.1142/S0218196721500077

M3 - Article

SN - 0218-1967

VL - 31

SP - 135

EP - 160

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 1

ER -

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

Abstract

Access to Document

Fingerprint

Projects

Left 3-Engel Elements in Groups

Cite this