Defining normal subgroups of unipotent algebraic groups

Author:
A. Fauntleroy

Journal:
Proc. Amer. Math. Soc. **50** (1975), 14-19

MSC:
Primary 20G15

MathSciNet review:
0409674

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Abstract: Let be a connected unipotent algebraic group defined over the perfect field . We show that polynomial generators for the ring can be chosen so that if is any connected normal -closed subgroup of , then can be generated by -polynomials in where . Moreover can also be generated as a polynomial algebra over by -polynomials.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1975-0409674-8

Keywords:
Unipotent group,
-polynomial,
Frattini coordinates

Article copyright:
© Copyright 1975
American Mathematical Society