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Soluble groups with an automorphism inverting many elements

Peter Hegarty (Institutionen för matematiska vetenskaper)
Math. Proc. R. Ir. Acad. Vol. 105A (2005), 1, p. 59--73.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2007-10-31.
CPL Pubid: 60603


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