## Hiroshima Mathematical Journal

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

### Automorphism groups of vector groups over a field of positive characteristic

Takefumi Tanaka and Hitoshi Kaneta

#### 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