Exact \(m\)-covers of groups by cosets (Q5937431)

This paper adds to the already substantial literature, since the 1950s, on covering groups by cosets of subgroups [including 4 papers by the author since 1990]. If the number of subgroups involved is \(k\), lower bounds are found for \(k\) in terms of \(m\) and the group \(G\) to be covered and the intersection of the subgroups involved, if they are all subnormal in \(G\). The results are too complicated for statement in a review.