Article contents
Ensuring a finite group is supersoluble
Published online by Cambridge University Press: 17 April 2009
Extract
A special case of the main result is the following. Let G be a finite, non-supersoluble group in which from arbitrary subsets X, Y of cardinality n we can always find x ∈ X and y ∈ Y generating a supersoluble subgroup. Then the order of G is bounded by a function of n. This result is a finite version of one line of development of B.H. Neumann's well-known and much generalised result of 1976 on infinite groups.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 219 - 226
- Copyright
- Copyright © Australian Mathematical Society 2006
References
- 5
- Cited by