Hiroshima Mathematical Journal

Automorphism groups of vector groups over a field of positive characteristic

Takefumi Tanaka and Hitoshi Kaneta

Full-text: Open access

Abstract

We define elementary automorphisms of the $n$-dimentional vector group over an algebraically closed field of positive characteristic and show that they generate the automorphism group of the vector group. We also give a necessary and sufficient computational condition for a $d$-tuple of $p$-polynomials to be a component of an $n$-tuple of $p$-polynomials defining an automorphism of the vector group.

Article information

Source
Hiroshima Math. J., Volume 38, Number 3 (2008), 437-446.

Dates
First available in Project Euclid: 28 January 2009

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1233152780

Digital Object Identifier
doi:10.32917/hmj/1233152780

Mathematical Reviews number (MathSciNet)
MR2477752

Zentralblatt MATH identifier
1171.20315

Subjects
Primary: 14L10: Group varieties 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)

Keywords
Automorphism group Algebraic group Vector group

Citation

Tanaka, Takefumi; Kaneta, Hitoshi. Automorphism groups of vector groups over a field of positive characteristic. Hiroshima Math. J. 38 (2008), no. 3, 437--446. doi:10.32917/hmj/1233152780. https://projecteuclid.org/euclid.hmj/1233152780


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