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The A-core and A-co...
Abstract
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- This paper provides a comprehensive investigation of the cellular approximation functor cell(A) G, in the category of groups. approximating a group G by a group A. We also study related notions such as A-injection, A-generation and A-constructibility of a group G and we find several interesting connections with the Schur multiplier H-2(G, Z). Our constructions are direct and are given in a slow and detailed manner.
Keyword
- A-generation
- A-constructibility
- A-injection
- A-cellular cover
- Central extensions
- Schur multiplier
- equivalences
Publication and Content Type
- ref (subject category)
- art (subject category)
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