The character table of a sharply -transitive subgroup of the alternating group of degree 12

Gill, Nick and Hughes, Sam (2021). The character table of a sharply -transitive subgroup of the alternating group of degree 12. International Journal of Group Theory, 10(1) pp. 11–30.

DOI: https://doi.org/10.22108/ijgt.2019.115366.1531

URL: https://ijgt.ui.ac.ir/article_23524.html

Abstract

We calculate the character table of a sharply -transitive subgroup of Alt(12)‎, ‎and of a sharply -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.

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