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- W4310832128 abstract "Let $K$ be a field, and let $Aut ,K^2$ be the group of polynomial automorphisms of $K^2$. If $K$ is infinite, this group is nonlinear. Moreover it contains nonlinear FG subgroups when $ch,K=0$. On the opposite, it contains some linear finite codimension subgroups. This phenomenon is specific to dimension two: it is also proved that finite codimension subgroups of $Aut,K^3$ are nonlinear, even for a finite field $K$." @default.
- W4310832128 created "2022-12-19" @default.
- W4310832128 creator A5051870380 @default.
- W4310832128 date "2022-12-05" @default.
- W4310832128 modified "2023-10-11" @default.
- W4310832128 title "Linearity and Nonlinearity of groups of polynomial automorphisms" @default.
- W4310832128 doi "https://doi.org/10.48550/arxiv.2212.02460" @default.
- W4310832128 hasPublicationYear "2022" @default.
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