We prove that for any locally finite group there is an extension of the same cardinality which is indecomposable for almost all regular cardinals smaller than its cardinality. Note that a group is called -indecomposable when for every increasing sequence of subgroups with union there is such that .
Cite this article
Saharon Shelah, Density of indecomposable locally finite groups. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 253–270DOI 10.4171/RSMUP/68