On the Wielandt length of a finite supersoluble group
Published online by Cambridge University Press: 11 July 2007
We develop a technique for calculating the Wielandt subgroup of a semidirect product of two finite groups of coprime order. We apply this technique to calculate the Wielandt length of a supersoluble group in terms of the Wielandt lengths of its Sylow subgroups (for small Wielandt lengths) and in terms of the nilpotency classes of its Sylow subgroups.
- Research Article
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1217 - 1226
- Copyright © Royal Society of Edinburgh 2000