The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A360389 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A360389

The orders of 4-transitive permutation groups.
(history; published version)

#11 by Michael De Vlieger at Sun Feb 19 12:18:00 EST 2023

STATUS

reviewed

approved

#10 by Michel Marcus at Sun Feb 19 09:34:25 EST 2023

STATUS

proposed

reviewed

#9 by Hal M. Switkay at Sun Feb 19 07:43:42 EST 2023

STATUS

editing

proposed

#8 by Hal M. Switkay at Sun Feb 19 07:43:20 EST 2023

LINKS

Hal M. Switkay, <a href="/A360389/b360389.txt">Table of n, a(n) for n = 1..44</a>

STATUS

approved

editing

Discussion

Sun Feb 19

07:43

Hal M. Switkay: Here is a b-file to extend the entry. Thank you!

#7 by Michael De Vlieger at Sat Feb 18 22:49:22 EST 2023

STATUS

reviewed

approved

#6 by Sean A. Irvine at Sat Feb 18 21:43:41 EST 2023

STATUS

proposed

reviewed

#5 by Michel Marcus at Mon Feb 06 17:15:58 EST 2023

STATUS

editing

proposed

Discussion

Mon Feb 06

17:24

Hal M. Switkay: Thank you for locating that resource, Michel!

Fri Feb 10

02:27

Michel Marcus: easy, take the url, remove the filename part, the page displays, look for additional information that gives the doi

#4 by Michel Marcus at Mon Feb 06 17:15:49 EST 2023

LINKS

Shreeram S. Abhyankar, <a href="https://www.amsdoi.org/journals/bull/1992-27-01/S0273-0979-1992-00270-710.1090/S0273-0979-1992-00270-7.pdf">Galois Theory on the Line in Non-Zero Characteristic</a>, Bulletin of the AMS, 27 (1992), 68-133.

STATUS

proposed

editing

Discussion

Mon Feb 06

17:15

Michel Marcus: DOI link

#3 by Hal M. Switkay at Sun Feb 05 12:37:44 EST 2023

STATUS

editing

proposed

#2 by Hal M. Switkay at Sun Feb 05 12:37:28 EST 2023

NAME

allocated for Hal M. Switkay

The orders of 4-transitive permutation groups.

DATA

24, 120, 360, 720, 2520, 5040, 7920, 20160, 40320, 95040, 181440, 362880, 1814400, 3628800, 10200960, 19958400, 39916800, 239500800, 244823040, 479001600, 3113510400, 6227020800, 43589145600, 87178291200, 653837184000, 1307674368000

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

Shreeram S. Abhyankar, <a href="https://www.ams.org/journals/bull/1992-27-01/S0273-0979-1992-00270-7/S0273-0979-1992-00270-7.pdf">Galois Theory on the Line in Non-Zero Characteristic</a>, Bulletin of the AMS, 27 (1992), 68-133.

CROSSREFS

Cf. A000142, A001228, A001710.

KEYWORD

allocated

nonn

AUTHOR

Hal M. Switkay, Feb 05 2023

STATUS

approved

editing