The character table of a sharply ۵-transitive subgroup of the alternating group of degree ۱۲

We calculate the character table of a sharply $۵$-transitive subgroup of $\alter(۱۲)$‎, ‎and of a sharply $۴$-transitive subgroup of $\alter(۱۱)$‎. ‎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.

کلیدواژه ها:

Mathieu groups ، sporadic groups ، character table ، permutation group ، multiply transitive