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On some closure-preserved properties - MaRDI portal

On some closure-preserved properties (Q1078670)

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scientific article; zbMATH DE number 3961954
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English
On some closure-preserved properties
scientific article; zbMATH DE number 3961954

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    On some closure-preserved properties (English)
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    1987
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    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.
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    isolator
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    groups with unique roots
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    closure
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    local nilpotency
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    group localization
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