The Ribes-Zalesskiĭ product theorem via foldings and extensions
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918137568428032 |
|---|---|
| author | Zhai, Zhaoshen |
| author_facet | Zhai, Zhaoshen |
| contents | We present an exposition of the Auinger-Steinberg proof of the Ribes-Zalesskiĭ product theorem for pro-V topologies, where V is a pseudovariety of groups closed under extensions with abelian kernel. This proof is self-contained and is accessible to those acquainted with coverings of graphs, and as such, it provides an easy entry point to various other deep theorems for which the product theorem is formally equivalent to. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06877 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Ribes-Zalesskiĭ product theorem via foldings and extensions Zhai, Zhaoshen Group Theory Combinatorics Logic 57M07, 20E10, 20E18 We present an exposition of the Auinger-Steinberg proof of the Ribes-Zalesskiĭ product theorem for pro-V topologies, where V is a pseudovariety of groups closed under extensions with abelian kernel. This proof is self-contained and is accessible to those acquainted with coverings of graphs, and as such, it provides an easy entry point to various other deep theorems for which the product theorem is formally equivalent to. |
| title | The Ribes-Zalesskiĭ product theorem via foldings and extensions |
| topic | Group Theory Combinatorics Logic 57M07, 20E10, 20E18 |
| url | https://arxiv.org/abs/2509.06877 |