On groups with weak Sierpiński subsets

Agnieszka Bier, Yves de Cornulier, Piotr Słanina

In a group $G$, a weak Sierpiński subset is a subset $E$ such that for some $g,h\in G$ and $a\ne b\in E$, we have $gE=E\setminus \{a\}$ and $hE=E\setminus \{b\}$. In thi…