A Note on the Solvablity of Groups

Details A Note on the Solvablity of Groups A Note on the Solvablity of Groups

2005-09-16

arxiv.org/abs/math/0509377v2

Mathematics

Group Theory

8 pages

Scientific paper

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}.

Affiliated with

Also associated with

No associations

Rating

A Note on the Solvablity of Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Note on the Solvablity of Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on the Solvablity of Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-553238