Automorphism groups of power functions
Abstract Let š¹ be a finite field, and for any integer <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>k</m:mi> <m:mo>ā„</m:mo> <m:mn>0</m:mn> </m:mrow> </m:math> k\geq 0 , let <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>p</m:mi> <m:mi>k</m:mi> </m:msub> </m:math> p_{k} be the power function on š¹ defined by <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:msub> <m:mi>p</m:mi> <m:mi>k</m:mi> </m:msub> <m:mo>ā¢</m:mo> <m:mrow>