A Note on the Solvablity of Groups
| dc.creator | Li, Shiheng | |
| dc.creator | Shi, Wujie | |
| dc.date | 2005-09-16 | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:18:30Z | |
| dc.date.available | 2026-07-07T06:18:30Z | |
| dc.description | Let $M$ be a maximal subgroup of a finite group $G$ and $K/L$ be a chief factor such that $L\leq M$ while $K\nsubseteq M$. We call the group $M\cap K/L$ a $c$\ns section of $M$. And we define $Sec(M)$ to be the abstract group that is isomorphic to a $c$\ns section of $M$. For every maximal subgroup $M$ of $G$, assume that Sec($M$) is supersolvable. Then any composition factor of $G$ is isomorphic to $L_2(p)$ or $Z_q$, where $p$ and $q$ are primes, and $p\equiv\pm 1(mod 8)$. This result answer a question posed by ref. \cite{WL}. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509377 | |
| dc.identifier | http://arxiv.org/abs/math/0509377 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94757 | |
| dc.subject | Group Theory | |
| dc.subject | 20D10, 20E28 | |
| dc.title | A Note on the Solvablity of Groups | |
| dc.type | text |