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.
|Number of pages||9|
|Journal||Bulletin of the London Mathematical Society|
|Early online date||11 Dec 2007|
|Publication status||Published - 11 Dec 2007|