Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.11610 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911155092455424 |
|---|---|
| author | Botur, Michal Kowalski, Tomasz |
| author_facet | Botur, Michal Kowalski, Tomasz |
| contents | We investigate a semigroup construction generalising the two-sided wreath product. We develop the foundations of this construction and show that for groups it is isomorphic to the usual wreath product. We also show that it gives a slightly finer version of the decomposition in the Krohn-Rhodes Theorem, in which the three-element flip-flop monoid is replaced by the two-element semilattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beyond wreath and block Botur, Michal Kowalski, Tomasz Group Theory 20M30 (Primary) 20M35 (Secondary) We investigate a semigroup construction generalising the two-sided wreath product. We develop the foundations of this construction and show that for groups it is isomorphic to the usual wreath product. We also show that it gives a slightly finer version of the decomposition in the Krohn-Rhodes Theorem, in which the three-element flip-flop monoid is replaced by the two-element semilattice. |
| title | Beyond wreath and block |
| topic | Group Theory 20M30 (Primary) 20M35 (Secondary) |
| url | https://arxiv.org/abs/2509.11610 |