Permutation groups induced by Derksen groups in characteristic two

DOI10.1007/s40306-020-00391-1zbMath1461.14081OpenAlexW3087912776MaRDI QIDQ2023891

Keisuke Hakuta

Publication date: 3 May 2021

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-020-00391-1

zbMATH Keywords

finite fieldpermutationpolynomial automorphismaffine algebraic geometrytame automorphismDerksen grouptame subgroup

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Birational automorphisms, Cremona group and generalizations (14E07) Finite fields (field-theoretic aspects) (12E20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Cites Work

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• Linearized polynomial maps over finite fields
• Polynomial automorphisms and the Jacobian conjecture
• Stably co-tame polynomial automorphisms over commutative rings
• On permutations induced by tame automorphisms over finite fields
• Generalization of a counterexample to Derksen's theorem in characteristic two
• Generalisations of the tame automorphisms over a domain of positive characteristic
• ON GENERATORS OF THE TAME INVERTIBLE POLYNOMIAL MAPS GROUP
• Permutation Groups Containing Affine Groups of the Same Degree
• Polynomial automorphisms over finite fields: Mimicking non-tame and tame maps by the Derksen group
• The group of Cremona transformations generated by linear maps and the standard involution

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