TL;DR
This paper investigates the structure of certain subgroups within the automorphism group of affine n-space, focusing on normality and properties of subgroups generated by specific automorphisms.
Contribution
It proves that the subgroup generated by locally finite polynomial automorphisms is normal in GA_n and explores properties of normal subgroups containing diagonal automorphisms.
Findings
The subgroup generated by locally finite automorphisms is normal in GA_n.
Properties of normal subgroups containing all diagonal automorphisms are characterized.
Insights into the subgroup structure of automorphism groups of affine space.
Abstract
We show that the subgroup generated by locally finite polynomial automorphisms of k^n is normal in GA_n. Also, some properties of normal subgroups of GA_n containing all diagonal automorphisms are given.
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