The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2

2025/01/07 by Yang, Jing, Guo, Qinghong, Liu, Weijun +1 · 1 citation
#05C25 #05C50 #FOS: Mathematics #G.2.2 #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2501.03522

Abstract

In this paper, we determine the dimension of the Terwilliger algebras of non-abelian finite groups admitting an abelian subgroup of index 2 by showing that they are triply transitive. Moreover, we give a complete characterization of the Wedderburn components of the Terwilliger algebras of these groups.

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