On p-soluble groups with a generalized p-central or powerful Sylow p-subgroup
Let $G$ be a finite $p$-soluble group, and $P$ a Sylow $p$-sub-group of $G$. It is proved that if all elements of $P$ of order $p$ (or of order ${}leq 4$ for $p=2$) are contained in the $k$-th term of the upper central series of $P$, then the $p$-length of $G$ is at most $2m+1$, where $m$ is the gre...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2012-06-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=761&_ob=a54f9c582725efbbb45bb105f241bdb7&fileName=full_text.pdf |