Injectivity theorems and algebraic closures of groups with coefficients
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SCOPUS
- Title
- Injectivity theorems and algebraic closures of groups with coefficients
- Authors
- Cha, JC
- Date Issued
- 2008-01
- Publisher
- LONDON MATH SOC
- Abstract
- Recently, Cochran and Harvey defined torsion-free derived series of groups and proved an injectivity theorem on the associated torsion-free quotients. We show that there is a universal construction which extends such an injectivity theorem to an isomorphism theorem. Our result relates injectivity theorems to a certain homology localization of groups. In order to give a concrete combinatorial description and existence proof of the necessary homology localization, we introduce a new version of algebraic closures of groups with coefficients by considering certain types of equations.
- Keywords
- LINK CONCORDANCE; INVARIANTS; LOCALIZATION; HOMOLOGY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29350
- DOI
- 10.1112/PLMS/PDM033
- ISSN
- 0024-6115
- Article Type
- Article
- Citation
- PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol. 96, page. 227 - 250, 2008-01
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