Sign in
On the Fitting height of a soluble group that is generated by a conjugacy class of 3-elements
Journal article   Peer reviewed

On the Fitting height of a soluble group that is generated by a conjugacy class of 3-elements

Abdullah Al-roqi and Paul Flavell
The Bulletin of the London Mathematical Society, Vol.39(6), pp.973-981
12/2007

Abstract

Mathematics Physical Sciences Science & Technology
Let G be a finite soluble group that is generated by a conjugacy class consisting of elements of order 3. We show that there exist four conjugates of an element of order 3 that generate a subgroup with the same Fitting height as G. We use this result to find a soluble analogue of the Baer-Suzuki theorem in the case prime 3.

Metrics

1 Record Views

Details