• A note on bounds of the $p$-length of a $p$-soluble group

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0051

• # Keywords

$p$-Soluble; $p$-length; mutually permutable product; Wielandt length.

• # Abstract

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.

• # Author Affiliations

1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
2. School of Mathematics and Statistics, Nanning Normal University, Nanning 530299, China

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019