Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.19047 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913448525299712 |
|---|---|
| author | Chen, William Y. Lubotzky, Alexander Tiep, Pham Huu |
| author_facet | Chen, William Y. Lubotzky, Alexander Tiep, Pham Huu |
| contents | We prove two results on some special generators of finite simple groups and use them to prove that every non-abelian finite simple group $S$ admits a non-congruence presentation (as conjectured in [CLT24]), and that if $S$ has a non-trivial Schur multiplier, then it admits a smooth cover (as conjectured in [CFLZ]). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-congruence presentations of finite simple groups Chen, William Y. Lubotzky, Alexander Tiep, Pham Huu Group Theory Algebraic Geometry Number Theory We prove two results on some special generators of finite simple groups and use them to prove that every non-abelian finite simple group $S$ admits a non-congruence presentation (as conjectured in [CLT24]), and that if $S$ has a non-trivial Schur multiplier, then it admits a smooth cover (as conjectured in [CFLZ]). |
| title | Non-congruence presentations of finite simple groups |
| topic | Group Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2407.19047 |