Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.13279 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916295246610432 |
|---|---|
| author | Singh, Anupam Udeep, Ayush |
| author_facet | Singh, Anupam Udeep, Ayush |
| contents | To a finite group $G$, one can associate several notions of dimensions (or degrees). In this survey, we attempt to bring together some of the notions of dimensions or degrees defined using representations of the group in General Linear Groups and permutation groups. These are embedding degree, minimal faithful irreducible character degree, minimal faithful permutation representation degree, minimal faithful quasi-permutation representation degree and essential dimension. We briefly present the progress in understanding these notions and the related problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Various Representation Dimensions associated with a Finite Group Singh, Anupam Udeep, Ayush Representation Theory 20C15 To a finite group $G$, one can associate several notions of dimensions (or degrees). In this survey, we attempt to bring together some of the notions of dimensions or degrees defined using representations of the group in General Linear Groups and permutation groups. These are embedding degree, minimal faithful irreducible character degree, minimal faithful permutation representation degree, minimal faithful quasi-permutation representation degree and essential dimension. We briefly present the progress in understanding these notions and the related problems. |
| title | Various Representation Dimensions associated with a Finite Group |
| topic | Representation Theory 20C15 |
| url | https://arxiv.org/abs/2406.13279 |