Article contents
Finite soluble groups have large centralisers
Published online by Cambridge University Press: 17 April 2009
Abstract
We say that a finite group G has a large centraliser if G contains a non-central element x with |CG (x)| > |G|½. We prove that every finite soluble group has a large centraliser, confirming a conjecture of Bertram and Herzog.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1987
References
- 3
- Cited by