# Sh:892

• Dror Farjoun, E., Göbel, R., Segev, Y., & Shelah, S. (2007). On kernels of cellular covers. Groups Geom. Dyn., 1(4), 409–419.
• Abstract:
In the present paper we continue to examine cellular covers of groups, focusing on the cardinality and the structure of the kernel K of the cellular map G\to M. We show that in general a torsion free reduced abelian group M may have a proper class of non-isomorphic cellular covers. In other words, the cardinality of the kernels is unbounded. In the opposite direction we show that if the kernel of a cellular cover of any group M has certain “freeness” properties, then its cardinality must be bounded.
• Version 2006-12-10_11 (10p) published version (11p)
Bib entry
@article{Sh:892,
author = {Dror Farjoun, Emmanuel and G{\"o}bel, R{\"u}diger and Segev, Yoav and Shelah, Saharon},
title = {{On kernels of cellular covers}},
journal = {Groups Geom. Dyn.},
fjournal = {Groups, Geometry, and Dynamics},
volume = {1},
number = {4},
year = {2007},
pages = {409--419},
issn = {1661-7207},
mrnumber = {2357479},
mrclass = {55P60 (20K20 20K35)},
doi = {10.4171/GGD/20},
note = {\href{https://arxiv.org/abs/math/0702294}{arXiv: math/0702294}},
arxiv_number = {math/0702294}
}