OFFSET
1,1
COMMENTS
The 4-transitive permutation groups are either: 1) symmetric groups of degree k for k >= 4, with order k! = A000142(k); 2) alternating groups of degree k for k >= 6, with order k!/2 = A001710(k); or 3) Mathieu groups of degree 11, 12, 23, or 24, with order A001228(k), where k = 1, 2, 6, or 9 respectively.
LINKS
Hal M. Switkay, Table of n, a(n) for n = 1..44
Shreeram S. Abhyankar, Galois Theory on the Line in Non-Zero Characteristic, Bulletin of the AMS, 27 (1992), 68-133.
CROSSREFS
KEYWORD
nonn
AUTHOR
Hal M. Switkay, Feb 05 2023
STATUS
approved