The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910775310811136 |
|---|---|
| author | Yang, Jing Guo, Qinghong Liu, Weijun Feng, Lihua |
| author_facet | Yang, Jing Guo, Qinghong Liu, Weijun Feng, Lihua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2 Yang, Jing Guo, Qinghong Liu, Weijun Feng, Lihua Group Theory Representation Theory 05C50, 05C25 G.2.2 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. |
| title | The Terwilliger algebras of the group association schemes of non-abelian finite groups admitting an abelian subgroup of index 2 |
| topic | Group Theory Representation Theory 05C50, 05C25 G.2.2 |
| url | https://arxiv.org/abs/2501.03522 |