Title of article
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
Author/Authors
Gill, Nick Department of Mathematics - University of South Wales - U. K. , Hughes, Sam Department of Mathematics - University of South Wales - U. K.
Pages
20
From page
11
To page
30
Abstract
We calculate the character table of a sharply 5-transitive subgroup of /alter(12), and of a sharply 4-transitive subgroup of /alter(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.
Keywords
Keywords
Mathieu groups , sporadic groups , character table , permutation group , multiply transitive
Journal title
International Journal of Group Theory
Serial Year
2021
Record number
2526089
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