Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.09670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916400200679424 |
|---|---|
| author | Hauck, Maximilian |
| author_facet | Hauck, Maximilian |
| contents | We show how to improve the runtime of the construction of generators of maximal subgroups of $\operatorname{SL}(d, q), \operatorname{SU}(d, q)$ and $\operatorname{Sp}(d, q)$ which arise as normalisers of extraspecial groups or $2$-groups of symplectic type given by Holt and Roney-Dougal (2005) from $O(d^3\log d\log q+\log^2 q)$ to $O(d^2\log d\log^{1+\varepsilon} q+\log^{2+\varepsilon} q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09670 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A faster method to construct extraspecial normaliser subgroups Hauck, Maximilian Group Theory We show how to improve the runtime of the construction of generators of maximal subgroups of $\operatorname{SL}(d, q), \operatorname{SU}(d, q)$ and $\operatorname{Sp}(d, q)$ which arise as normalisers of extraspecial groups or $2$-groups of symplectic type given by Holt and Roney-Dougal (2005) from $O(d^3\log d\log q+\log^2 q)$ to $O(d^2\log d\log^{1+\varepsilon} q+\log^{2+\varepsilon} q)$. |
| title | A faster method to construct extraspecial normaliser subgroups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2202.09670 |