Normal right Engel subgroups of compact Hausdorff groups

Gunnar Traustason

doi:10.1016/j.jalgebra.2014.07.013

Normal right Engel subgroups of compact Hausdorff groups

Gunnar Traustason

Department of Mathematical Sciences

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

3 Citations (SciVal)

211 Downloads (Pure)

Abstract

Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.

Original language	English
Pages (from-to)	142-153
Number of pages	12
Journal	Journal of Algebra
Volume	418
Early online date	7 Aug 2014
DOIs	https://doi.org/10.1016/j.jalgebra.2014.07.013
Publication status	Published - 15 Nov 2014

Keywords

Compact Hausdorff
RIght Engel
Upper central

Access to Document

10.1016/j.jalgebra.2014.07.013

Normal right Engel subgroups of compact
Published version available via: http://dx.doi.org/10.1016/j.jalgebra.2014.07.013
Accepted author manuscript, 134 KBLicence: CC BY-NC-ND

Gunnar Traustason
- G.Traustasonbath.acuk
- Department of Mathematical Sciences - Professor
Person: Research & Teaching

Cite this

@article{7c29af31c1c440528bf5c4ef2e5ae1f7,

title = "Normal right Engel subgroups of compact Hausdorff groups",

abstract = "Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.",

keywords = "Compact Hausdorff, RIght Engel, Upper central",

author = "Gunnar Traustason",

year = "2014",

month = nov,

day = "15",

doi = "10.1016/j.jalgebra.2014.07.013",

language = "English",

volume = "418",

pages = "142--153",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier Academic Press Inc",

}

TY - JOUR

T1 - Normal right Engel subgroups of compact Hausdorff groups

AU - Traustason, Gunnar

PY - 2014/11/15

Y1 - 2014/11/15

N2 - Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.

AB - Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.

KW - Compact Hausdorff

KW - RIght Engel

KW - Upper central

U2 - 10.1016/j.jalgebra.2014.07.013

DO - 10.1016/j.jalgebra.2014.07.013

M3 - Article

SN - 0021-8693

VL - 418

SP - 142

EP - 153

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Normal right Engel subgroups of compact Hausdorff groups

Abstract

Keywords

Access to Document

Fingerprint

Profiles

Gunnar Traustason

Cite this