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

More information

Created

10/8/2017