Algebraic groups over finite fields: Connections between subgroups and isogenies
Algebraic groups over finite fields: Connections between subgroups and isogenies
Abstract Let 𝐺 be a linear algebraic group defined over a finite field <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi mathvariant="double-struck">F</m:mi> <m:mi>q</m:mi> </m:msub> </m:math> \mathbb{F}_{q} . We present several connections between the isogenies of 𝐺 and the finite groups of rational points <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mi>G</m:mi> <m:mo></m:mo> <m:mrow> <m:mo …