On some closure-preserved properties
type: Item
instance of: scholarly article
title: On some closure-preserved properties
zbMATH Open document ID: 0597.20029
DOI: 10.1007/BF01189279
author: Charles Cassidy
author: Moren Lévesque
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 3961954
zbMATH Keywords: isolator
zbMATH Keywords: groups with unique roots
zbMATH Keywords: closure
zbMATH Keywords: local nilpotency
zbMATH Keywords: group localization
MaRDI profile type: Publication
cites work: Some aspects of groups with unique roots
cites work: Q5612538
cites work: Q4061125
cites work: Homology in group theory
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description: scientific article; zbMATH DE number 3961954