Abstract
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.
| Original language | English |
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| Pages (from-to) | 973-981 |
| Number of pages | 9 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 39 |
| Issue number | 6 |
| Early online date | 11 Dec 2007 |
| DOIs | |
| Publication status | Published - 11 Dec 2007 |