About an extension of the Davenport-Rado result to the Herzog-Schonheim conjecture for free groups

Fabienne Chouraqui

Let $G$ be a group and $H_1$,...,$H_s$ be subgroups of $G$ of indices $d_1$,...,$d_s$ respectively. In 1974, M. Herzog and J. Schönheim conjectured that if $\{H_i{\alpha }_i{\}}_{i=1}^{i=s}$…