On finite subgroups of the classical groups
On finite subgroups of the classical groups
Abstract In 1878, Jordan showed that a finite subgroup of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo form="prefix">GL</m:mo> <m:mo>(</m:mo> <m:mi>n</m:mi> <m:mo>,</m:mo> <m:mi>ℂ</m:mi> <m:mo>)</m:mo> </m:mrow> </m:math> ${\operatorname{GL}(n,\mathbb {C})}$ must possess an abelian normal subgroup whose index is bounded by a function of n alone. In previous papers, the author obtained optimal bounds; in particular, …