A bound for the orders of centralizers of irreducible subgroups of algebraic groups
A bound for the orders of centralizers of irreducible subgroups of algebraic groups
Abstract We prove that if ๐บ is a connected semisimple algebraic group of rank ๐, and ๐ป is a subgroup of ๐บ that is contained in no proper parabolic subgroup, then we have <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mo fence="true" stretchy="false">|</m:mo> <m:mrow> <m:msub> <m:mi>C</m:mi> <m:mi>G</m:mi> </m:msub> <m:mo>โข</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>H</m:mi> โฆ