HUILONG GU
Articles written in Proceedings – Mathematical Sciences
Volume 130 All articles Published: 13 August 2020 Article ID 0051 Article
A note on bounds of the $p$-length of a $p$-soluble group
HUILONG GU JIAO LI HUAQUAN WEI LIYING YANG
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.
Volume 130, 2020
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