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The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2
| العنوان: | The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2 |
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| المؤلفون: | Yang, Jing, Guo, Qinghong, Liu, Weijun, Feng, Lihua |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Representation Theory, 05C50, 05C25, G.2.2 |
| الوصف: | 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. Comment: 14 pages. arXiv admin note: text overlap with arXiv:2203.08793 by other authors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.03522 |
| رقم الانضمام: | edsarx.2501.03522 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |