We connect work done by Enochs, Rada and Hill in module approximation theory with work undertaken by several group theorists and algebraic topologists in the context of homotopical localization and cellularization of spaces. This allows one to consider envelopes and covers of arbitrary groups. We show some characterizing results for certain classes of groups, and present some open questions.
1
Universidad de Murcia, Spain
2
Universidad de Almería, Spain
Sergio Estrada; José L. Rodríguez. Envelopes and covers for groups. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 107-120. doi: 10.4171/ggd/440
@article{10_4171_ggd_440,
author = {Sergio Estrada and Jos\'e L. Rodr{\'\i}guez},
title = {Envelopes and covers for groups},
journal = {Groups, geometry, and dynamics},
pages = {107--120},
year = {2018},
volume = {12},
number = {1},
doi = {10.4171/ggd/440},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/440/}
}
TY - JOUR
AU - Sergio Estrada
AU - José L. Rodríguez
TI - Envelopes and covers for groups
JO - Groups, geometry, and dynamics
PY - 2018
SP - 107
EP - 120
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/440/
DO - 10.4171/ggd/440
ID - 10_4171_ggd_440
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/440/
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