A solvable version of the Baer--Suzuki Theorem

Details A solvable version of the Baer--Suzuki Theorem A solvable version of the Baer--Suzuki Theorem

2009-02-10

arxiv.org/abs/0902.1738v1

Mathematics

Group Theory

Scientific paper

Suppose that G is a finite group and x in G has prime order p > 3. Then x is contained in the solvable radical of G if (and only if) is solvable for all g in G. If G is an almost simple group and x in G has prime order p > 3 then this implies that there exists g in G such that is not solvable. In fact, this is also true when p=3 with very few exceptions, which are described explicitly.

Affiliated with

Also associated with

No associations

Rating

A solvable version of the Baer--Suzuki Theorem 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 solvable version of the Baer--Suzuki Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A solvable version of the Baer--Suzuki Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486731