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Centralizer Algebras of Two Permutation Groups of Order 1344

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arxiv 2412.00001 v1 pith:ME75TLZW submitted 2024-11-08 math.GM

classification math.GM
keywords algebrasgroupsorderpermutationcentralizercentralizingcharacterexamine
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There are two permutation groups that they share the same character table of order 1344. We take up natural representations on 8 and 14 letters respectively. The purpose of this paper is to examine the semi-simple structure of centralizing algebras in the tensor representation.

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