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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Subgroups of $ ax+b$ and the splitting of triangular group schemes


Author: William C. Waterhouse
Journal: Proc. Amer. Math. Soc. 79 (1980), 520-522
MSC: Primary 14L17; Secondary 20G15
MathSciNet review: 572293
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Abstract | References | Similar Articles | Additional Information

Abstract: The subgroup schemes of the $ ax + b$ group are computed. This leads to a quick proof that a triangular group scheme over an algebraically closed field is a semidirect product of unipotent and diagonalizable subgroups.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0572293-9
PII: S 0002-9939(1980)0572293-9
Article copyright: © Copyright 1980 American Mathematical Society