Item Infomation
| Title: |
| Representation Stability and Finite Orthogonal Groups |
| Authors: |
| Arun S., Kannan Zifan, Wang |
| Issue Date: |
| 2023 |
| Publisher: |
| Springer |
| Abstract: |
| In this paper, we prove homological stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and Sam (2017), we construct a category OrI(R) and prove a local Noetherianity theorem for the category of OrI(R)-modules. This implies an asymptotic structure theorem for orthogonal groups. In addition, we show general homological stability theorems for orthogonal groups, with both untwisted and twisted coefficients. |
| Description: |
| CC BY |
| URI: |
| https://link.springer.com/article/10.1007/s10468-023-10202-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7480 |
| Appears in Collections |
| OER - Khoa học Tự nhiên |
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