The character table of a sharply $5$-transitive subgroup of the alternating group of degree 12

Document Type : Research Paper


Department of Mathematics, University of South Wales, Treforest, CF37 1DL, U. K.


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.


Main Subjects

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  • Receive Date: 29 January 2019
  • Revise Date: 02 April 2019
  • Accept Date: 13 April 2019
  • Published Online: 01 March 2021