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Automorphisms of quasi-projective surfaces over fields of finite characteristic

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We prove that the group of automorphisms of any quasi-projective surface S in finite characteristic has the p-Jordan property. Also we give a list of examples which can possibly lead… Click to show full abstract

We prove that the group of automorphisms of any quasi-projective surface S in finite characteristic has the p-Jordan property. Also we give a list of examples which can possibly lead to a construction of a quasi-projective threefold which group of automorphisms can be non-p-Jordan; however, the question whether they actually give such a construction remains undecided.

Keywords: quasi projective; automorphisms quasi; fields finite; finite characteristic; projective surfaces; surfaces fields

Journal Title: Journal of Algebra
Year Published: 2021

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