Article contents
SOME REMARKS ON GROUPS WITH NILPOTENT MINIMAL COVERS
Published online by Cambridge University Press: 01 December 2008
Abstract
A cover of a group is a finite collection of proper subgroups whose union is the whole group. A cover is minimal if no cover of the group has fewer members. It is conjectured that a group with a minimal cover of nilpotent subgroups is soluble. It is shown that a minimal counterexample to this conjecture is almost simple and that none of a range of almost simple groups are counterexamples to the conjecture.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 85 , Issue 3 , December 2008 , pp. 353 - 365
- Copyright
- Copyright © Australian Mathematical Society 2009
References
- 1
- Cited by