Soluble groups with an automorphism inverting many elements
Journal article, 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.
Author
Peter Hegarty
Chalmers, Mathematical Sciences
University of Gothenburg
Math. Proc. R. Ir. Acad.
Vol. 105A 1 59--73-
Subject Categories
Mathematics