The character table of a sharply ۵-transitive subgroup of the alternating group of degree ۱۲
Publish place: International Journal of Group Theory، Vol: 10، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_THEGR-10-1_002
تاریخ نمایه سازی: 14 اردیبهشت 1400
Abstract:
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.
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Authors
Nick Gill
Department of Mathematics, University of South Wales, Treforest, CF۳۷ ۱DL, U. K.
Sam Hughes
Department of Mathematics, University of South Wales, Treforest, CF۳۷ ۱DL, U. K.