Timeline for Cardinals of transitive permutation groups acting on $\{1,\dots,n\}$

7 events

when toggle format	what		by	license	comment
Nov 19, 2012 at 11:29	answer	added	Nick Gill		timeline score: 3
Nov 19, 2012 at 11:13	history	edited	Max Horn		edited tags
Apr 5, 2012 at 13:25	comment	added	Roland Bacher		Thank you for the correction: A semi-direct product needs of course divisibility by 3 of the number of invertible elements modulo $n$. I think you suggest that the answer is messy!
Apr 5, 2012 at 13:22	history	edited	Roland Bacher	CC BY-SA 3.0	edited body
Apr 5, 2012 at 13:17	history	edited	Roland Bacher	CC BY-SA 3.0	added 96 characters in body; deleted 5 characters in body
Apr 5, 2012 at 12:23	comment	added	Derek Holt		This is almost certainly too difficult to answer in general. What you write about $3n$ is not true. There are transitive groups of order $3n$ for $n=9$ and $n=14$ for example. On the other hand, there are none for $n=10$. The transitive groups have been enumerated for all $n \le 32$ by the way. Could you try asking a more specific question?
Apr 5, 2012 at 9:18	history	asked	Roland Bacher	CC BY-SA 3.0