The proportion of derangements characterizes the symmetric and alternating groups
Open access
Date
2022-08Type
- Journal Article
ETH Bibliography
yes
Altmetrics
Abstract
Let G$G$ be a subgroup of the symmetric group Sn$S_n$. If the proportion of fixed-point-free elements in G$G$ (or a coset) equals the proportion of fixed-point-free elements in Sn$S_n$, then G=Sn$G=S_n$. The analogue for An$A_n$ holds if n > 7$n \geqslant 7$. We give an application to monodromy groups. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000544180Publication status
publishedExternal links
Journal / series
Bulletin of the London Mathematical SocietyVolume
Pages / Article No.
Publisher
WileyMore
Show all metadata
ETH Bibliography
yes
Altmetrics