Progress around the Boone-Higman Conjecture
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915298276278272 |
|---|---|
| author | Belk, James Bleak, Collin Matucci, Francesco Zaremsky, Matthew C. B. |
| author_facet | Belk, James Bleak, Collin Matucci, Francesco Zaremsky, Matthew C. B. |
| contents | A conjecture of Boone and Higman from the 1970's asserts that a finitely generated group $G$ has solvable word problem if and only if $G$ can be embedded into a finitely presented simple group. We comment on the history of this conjecture and survey recent results that establish the conjecture for many large classes of interesting groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16356 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Progress around the Boone-Higman Conjecture Belk, James Bleak, Collin Matucci, Francesco Zaremsky, Matthew C. B. Group Theory 20F10, 20F65, 20F67, 20E32, 01A65, 20-03 A conjecture of Boone and Higman from the 1970's asserts that a finitely generated group $G$ has solvable word problem if and only if $G$ can be embedded into a finitely presented simple group. We comment on the history of this conjecture and survey recent results that establish the conjecture for many large classes of interesting groups. |
| title | Progress around the Boone-Higman Conjecture |
| topic | Group Theory 20F10, 20F65, 20F67, 20E32, 01A65, 20-03 |
| url | https://arxiv.org/abs/2306.16356 |