Conder, Matthew and Litterick, Alastair (2019) Further rigid triples of classes in G₂. International Journal of Group Theory, 8 (4). pp. 5-9. DOI https://doi.org/10.22108/ijgt.2018.111467.1481
Conder, Matthew and Litterick, Alastair (2019) Further rigid triples of classes in G₂. International Journal of Group Theory, 8 (4). pp. 5-9. DOI https://doi.org/10.22108/ijgt.2018.111467.1481
Conder, Matthew and Litterick, Alastair (2019) Further rigid triples of classes in G₂. International Journal of Group Theory, 8 (4). pp. 5-9. DOI https://doi.org/10.22108/ijgt.2018.111467.1481
Abstract
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in characteristic 5, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups G2(5n) are not (2, 4, 5)-generated, confirming a conjecture of Marion in this case.
| Item Type: | Article |
|---|---|
| Additional Information: | 5 pages. To appear in International Journal of Group Theory |
| Uncontrolled Keywords: | triangle groups; finite groups of Lie type; representation varieties |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 25 Sep 2019 15:34 |
| Last Modified: | 30 Oct 2024 21:20 |
| URI: | http://repository.essex.ac.uk/id/eprint/25306 |
Available files
Filename: IJGT_2019 _Vol 8_Issue 4_Pages 5-9.pdf
Licence: Creative Commons: Attribution 3.0