Automorphism groups of vector groups over a field
				of positive characteristic

Tanaka, Takefumi; Kaneta, Hitoshi

Automorphism groups of vector groups over a field of positive characteristic

Hiroshima Math. J., Tome 38 (2008) no. 1, p. 437-446 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-11-15
Classification: Automorphism group, Algebraic group, Vector group, 14L10, 14R10

@article{1233152780,
     author = {Tanaka, Takefumi and Kaneta, Hitoshi},
     title = {Automorphism groups of vector groups over a field
				of positive characteristic},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 437-446},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1233152780}
}

Tanaka, Takefumi; Kaneta, Hitoshi. Automorphism groups of vector groups over a field
				of positive characteristic. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  437-446. http://gdmltest.u-ga.fr/item/1233152780/