Suppose that the finite group $G = AB$ is a mutually permutable product of two $p$-soluble subgroups $A$ and $B$. By using the Wielandt lengths of Sylow $p$-subgroups of $A$ and $B$, we present a new bound of the $p$-length of $G$. Some known results are improved.
Proceedings – Mathematical Sciences
Volume 130, 2020 All articles Continuous Article Publishing mode
