Intersections of conjugacy classes and subgroups of algebraic groups

Abstract

We show that if $H$ is a reductive group, then $n$th roots of conjugacy classes are a finite union of conjugacy classes, and that if $G$ is an algebraic overgroup of $H$, then the intersection of $H$ with a conjugacy class of $G$ is a finite union of $H$-conjugacy classes. These results follow from results on finiteness of unipotent classes in an almost simple algebraic group.

Locations

• Proceedings of the American Mathematical Society - View - PDF