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arXiv · 2501.03522

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

Jing Yang·Qinghong Guo·Weijun Liu·Lihua Feng
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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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Jing Yang, Qinghong Guo, Weijun Liu, Lihua Feng. 2025-01-07. The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2. https://arxiv.org/abs/2501.03522

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