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What is Automorphism Groups in Finite Fields about?

This document discusses automorphism groups of endomorphisms of the projective line over algebraic closures of finite fields. It begins by introducing dynamical systems, automorphism groups, and the moduli space of such systems. The authors study which finite subgroups of PGL2(F̄p) can arise as automorphism groups, and characterize the locus of degree 2 maps over F̄p with nontrivial automorphisms. They show that every finite subgroup of PGL2(F̄p) occurs as the automorphism group of some dynamical system, re

Author

jiamili

Language

EN