Soluble groups with an automorphism inverting many elements
Artikel i vetenskaplig tidskrift, 2005

Let $G$ be a finite soluble group. We derive upper bounds, in terms of the derived length of $G$, for the maximal proportion of elements of $G$ which can be sent to their inverses under a group automorphism.


Peter Hegarty

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Math. Proc. R. Ir. Acad.

Vol. 105A 1 59--73-