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SUMMARY:Cellular covers of groups with free kernel
DTSTART:20130301T141500
DTEND:20130301T153000
DTSTAMP:20260408T025858Z
UID:c82445ff273d41fcf54bc22f76dc04eb16a3eb52badaf8a4d8f282d3
CATEGORIES:Conferences - Seminars
DESCRIPTION:José Luis Rodríguez (Almería)\nIn this talk\, we will revi
 ew some results on cellular covers of groups\, motivated by its counterpar
 t in homotopy theory of spaces. Recall that an epimorphism π: G → H is 
 called a cellular cover if it induces a bijection π*: End(G) ≅ Hom(G\,H
 )\, where π*(ψ)=πψ. We pay attention to the case when H and G are coto
 rsion-free abelian groups (or more generally\, R-modules over a cotorsion-
 free ring). We provide uncountably many new examples where the rank of H i
 s 2\, and the kernel of the cellular cover is free of countable rank. This
  extends results from Göbel-Rodríguez-Strüngmann\, and Rodríguez-Strü
 ngmann.
LOCATION:MA 10
STATUS:CONFIRMED
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