Unipotent Overgroups in Simple Algebraic Groups [chapter]

Iulian I. Simion, Donna M. Testerman
2014 Groups of Exceptional Type, Coxeter Groups and Related Geometries  
In this article we survey recent results on the structure of centers of centralizers of unipotent elements u in simple linear algebraic groups G. We bring forth the case of bad characteristic treated by the first author as well as a new case-free proof in characteristic 0 of the second author giving a lower bound for the dim Z(CG(u)) in case u is an even element. We also point out properties of the group Z(CG(u) • ).
doi:10.1007/978-81-322-1814-2_8 fatcat:xcy3nicvvvesbabju3p6m3awti