The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
We calculate the character table of a sharply 5-transitive subgroup of Alt(12), and of a sharply 4-transitive subgroup of Alt(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations.
Character table, Mathieu groups, Multiply transitive, Permutation group, Sporadic groups
11-30
Gill, Nick
8dee02f1-8e2c-466c-b2e3-461671b1200d
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
13 March 2021
Gill, Nick
8dee02f1-8e2c-466c-b2e3-461671b1200d
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
Gill, Nick and Hughes, Sam
(2021)
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12.
International Journal of Group Theory, 10 (1), .
(doi:10.22108/IJGT.2019.115366.1531).
Abstract
We calculate the character table of a sharply 5-transitive subgroup of Alt(12), and of a sharply 4-transitive subgroup of Alt(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations.
Text
1806.09510v1
- Author's Original
Text
10.22108/IJGT.2019.115366.1531
- Accepted Manuscript
Text
IJGT_2021 Spring_Vol 10_Issue 1_Pages 11-30
- Version of Record
Restricted to Repository staff only
Request a copy
More information
In preparation date: 25 June 2018
Accepted/In Press date: 13 April 2019
e-pub ahead of print date: 13 April 2019
Published date: 13 March 2021
Additional Information:
Publisher Copyright:
© 2021 University of Isfahan.
Keywords:
Character table, Mathieu groups, Multiply transitive, Permutation group, Sporadic groups
Identifiers
Local EPrints ID: 430801
URI: http://eprints.soton.ac.uk/id/eprint/430801
ISSN: 2251-7650
PURE UUID: cab8ee01-3a23-4074-98cd-bafcf0a99d36
Catalogue record
Date deposited: 13 May 2019 16:30
Last modified: 15 Mar 2024 23:17
Export record
Altmetrics
Contributors
Author:
Nick Gill
Author:
Sam Hughes
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics