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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
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
In this paper we calculate the character table of a sharply 5-transitive subgroup of rmrAlt(12), and of a sharply $4$-transitive subgroup of rmAlt(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.
math.GR, 20C15, 20B20, 20C34
2251-7650
1-19
Gill, Nick
8dee02f1-8e2c-466c-b2e3-461671b1200d
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
Gill, Nick
8dee02f1-8e2c-466c-b2e3-461671b1200d
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a

Gill, Nick and Hughes, Sam (2019) The character table of a sharply 5-transitive subgroup of the alternating group of degree 12. International Journal of Group Theory, 1-19, [23524]. (doi:10.22108/IJGT.2019.115366.1531).

Record type: Article

Abstract

In this paper we calculate the character table of a sharply 5-transitive subgroup of rmrAlt(12), and of a sharply $4$-transitive subgroup of rmAlt(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.

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1806.09510v1 - Author's Original
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10.22108/IJGT.2019.115366.1531 - Accepted Manuscript
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More information

In preparation date: 25 June 2018
Accepted/In Press date: 13 April 2019
e-pub ahead of print date: 13 April 2019
Additional Information: 19 pages; accepted. 12 pages; submitted (arXiv).
Keywords: math.GR, 20C15, 20B20, 20C34

Identifiers

Local EPrints ID: 430801
URI: http://eprints.soton.ac.uk/id/eprint/430801
ISSN: 2251-7650
PURE UUID: cab8ee01-3a23-4074-98cd-bafcf0a99d36
ORCID for Sam Hughes: ORCID iD orcid.org/0000-0002-9992-4443

Catalogue record

Date deposited: 13 May 2019 16:30
Last modified: 11 Feb 2020 01:44

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