Envelopes and covers for groups
Group Theory
2016-09-06 v2
Abstract
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.
Cite
@article{arxiv.1504.03000,
title = {Envelopes and covers for groups},
author = {Sergio Estrada and Jose L. Rodriguez},
journal= {arXiv preprint arXiv:1504.03000},
year = {2016}
}
Comments
15 pages, Groups, Geometry, and Dynamics 2017