On a coarse invertibility spectrum for coarse groups
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908303274016768 |
|---|---|
| author | Schäfer, Leo Vigolo, Federico |
| author_facet | Schäfer, Leo Vigolo, Federico |
| contents | We introduce a coarse algebraic invariant for coarse groups and use it to differentiate various coarsifications of the group of integers. This lets us answer two questions posed by Leitner and the second author. The invariant is obtained by considering the set of exponents n such that taking n-th powers defines a coarse equivalence of the coarse group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08536 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a coarse invertibility spectrum for coarse groups Schäfer, Leo Vigolo, Federico Group Theory Number Theory 20F65, 51F30, 11A99, 05C12 We introduce a coarse algebraic invariant for coarse groups and use it to differentiate various coarsifications of the group of integers. This lets us answer two questions posed by Leitner and the second author. The invariant is obtained by considering the set of exponents n such that taking n-th powers defines a coarse equivalence of the coarse group. |
| title | On a coarse invertibility spectrum for coarse groups |
| topic | Group Theory Number Theory 20F65, 51F30, 11A99, 05C12 |
| url | https://arxiv.org/abs/2404.08536 |