Abstract
Let C1,…,Ce be noncentral conjugacy classes of the algebraic group G=SLn(k) defined over a sufficiently large field k, and let Ω:=C1×…×Ce. This paper determines necessary and sufficient conditions for the existence of a tuple (x1,…,xe)∈Ω such that 〈x1,…,xe〉 is Zariski dense in G. As a consequence, a new result concerning generic stabilizers in linear representations of algebraic groups is proved, and existing results on random (r,s)-generation of finite groups of Lie type are strengthened.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
