The generalised Fitting subgroup of a profinite group

Details The generalised Fitting subgroup of a profinite group The generalised Fitting subgroup of a profinite group

2009-04-02

arxiv.org/abs/0904.0424v1

Mathematics

Group Theory

17 pages

Scientific paper

The generalised Fitting subgroup of a finite group is the group generated by all subnormal subgroups that are either nilpotent or quasisimple. The importance of this subgroup in finite group theory stems from the fact that it always contains its own centraliser, so that any finite group is an abelian extension of a group of automorphisms of its generalised Fitting subgroup. We define a class of profinite groups which generalises this phenomenon, and explore some consequences for the structure of profinite groups.

Affiliated with

Also associated with

No associations

Rating

The generalised Fitting subgroup of a profinite group 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 The generalised Fitting subgroup of a profinite group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The generalised Fitting subgroup of a profinite group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64190