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)

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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

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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

Cite this

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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,

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language = "English",

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PY - 2014/11/15

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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

UR - https://www.scopus.com/pages/publications/84955445200

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

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Gunnar Traustason

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Normal right Engel subgroups of compact Hausdorff groups

Abstract

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Gunnar Traustason

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