On kernels of cellular covers

Details On kernels of cellular covers On kernels of cellular covers

2007-02-11

arxiv.org/abs/math/0702294v1

Mathematics

Group Theory

Scientific paper

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-> 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.

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