On some closure-preserved properties

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1987 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 48, pages 105-108 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Cassidy, Charles; Levesque, Moren;

doi: 10.1007/bf01189279

On some closure-preserved properties

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Abstract

The purpose of this paper is to show that, in a group G with unique roots, certain group-theoretic properties of a subgroup H are preserved when one considers the closure of H in G. Several such properties going from nilpotency to local nilpotency are studied from this point of view. Some consequences for group localization are also indicated.

Related Organizations

Université Laval
Canada

Keywords

isolator, Nilpotent groups, Subgroup theorems; subgroup growth, group localization, closure, groups with unique roots, local nilpotency, Local properties of groups

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