Distinguishing Filling Invariants Associated to Conjugacy in Groups
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_ | 1866918069042937856 |
|---|---|
| author | Gillis, Conan Riley, Timothy |
| author_facet | Gillis, Conan Riley, Timothy |
| contents | Brick and Corson introduced annular Dehn functions in 1998 to quantify the conjugacy problem for finitely generated groups and gave the fundamental relationships between it, the Dehn function, and the conjugator length function. We furnish the theory with diverse examples groups. In particular, we show that these three invariants are independent -- no two of the three functions determine the other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distinguishing Filling Invariants Associated to Conjugacy in Groups Gillis, Conan Riley, Timothy Group Theory 20F65, 20F10, 20F06 Brick and Corson introduced annular Dehn functions in 1998 to quantify the conjugacy problem for finitely generated groups and gave the fundamental relationships between it, the Dehn function, and the conjugator length function. We furnish the theory with diverse examples groups. In particular, we show that these three invariants are independent -- no two of the three functions determine the other. |
| title | Distinguishing Filling Invariants Associated to Conjugacy in Groups |
| topic | Group Theory 20F65, 20F10, 20F06 |
| url | https://arxiv.org/abs/2506.19264 |