Profinite groups with complemented closed subgroups

Gustavo A. Fernández-Alcober, Giulia Sabatino

A group $G$ is said to be a $C$-group if every subgroup $H$ has a permutable complement, i.e. if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K=1$. In this paper…