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Elementarily free groups are subgroup separable
Author(s) -
Wilton Henry
Publication year - 2007
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdm020
Subject(s) - mathematics , separable space , finitely generated abelian group , free product , group (periodic table) , pure mathematics , combinatorics , mathematical analysis , chemistry , organic chemistry
Elementarily free groups are the finitely generated groups with the same elementary theory as free groups. We prove that elementarily free groups are subgroup separable, answering a question of Zlil Sela.
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