| dc.contributor.author | Poonen, Bjorn | |
| dc.contributor.author | Slavov, Kaloyan | |
| dc.date.accessioned | 2022-10-14T15:15:50Z | |
| dc.date.available | 2022-10-14T15:15:50Z | |
| dc.date.issued | 2022 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/145830 | |
| dc.description.abstract | Let $G$ be a subgroup of the symmetric group $S_n$. If the proportion of
fixed-point-free elements in $G$ (or a coset) equals the proportion of
fixed-point-free elements in $S_n$, then $G=S_n$. The analogue for $A_n$ holds
if $n \ge 7$. We give an application to monodromy groups. | en_US |
| dc.language.iso | en | |
| dc.publisher | Wiley | en_US |
| dc.relation.isversionof | 10.1112/BLMS.12639 | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs License | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | Wiley | en_US |
| dc.title | The proportion of derangements characterizes the symmetric and alternating groups | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Poonen, Bjorn and Slavov, Kaloyan. 2022. "The proportion of derangements characterizes the symmetric and alternating groups." Bulletin of the London Mathematical Society, 54 (4). | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Bulletin of the London Mathematical Society | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2022-10-14T15:08:17Z | |
| dspace.orderedauthors | Poonen, B; Slavov, K | en_US |
| dspace.date.submission | 2022-10-14T15:08:18Z | |
| mit.journal.volume | 54 | en_US |
| mit.journal.issue | 4 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
