Graduate Students Seminar

3pm Wednesday 8 October 2003

Chris Wetherell
MSI

Groups with strong Wielandt length two

For subgroups of groups the property of being normal is not transitive. This simple fact gives rise, on the one hand, to the concept of subnormal subgroups and, on the other, to the study of so-called T-groups, those in which normality actually is transitive. In this talk we are interested in extending the well-known characterisation of finite soluble T-groups to the wider class of groups with strong Wielandt length at most two. For finite soluble groups in particular, we may consider strong Wielandt length to be a natural extension of the concept of nilpotency class for nilpotent groups.




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