Geodesic
Solvable Subgroups and their Lie Algebras in Characteristic p
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 308-311

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1. Introduction. Throughout this paper, G is a connected linear algebraic group over an algebraically closed field whose characteristic is denoted p. For any closed subgroup H of G, denotes the Lie algebra of H and H 0 denotes the connected component of the identity of H.A Borel subalgebra of is the Lie algebra of some Borel subgroup B of G. A maximal torus of is the Lie algebra of some maximal torus T of G. In [4], it is shown that the maximal tori of are the maximal commutative subalgebras of consisting of semisimple elements, and the question was raised in § 14.3 as to whether the set of Borel subalgebras of is the set of maximal triangulable subalgebras of . 
Winter, David J. Solvable Subgroups and their Lie Algebras in Characteristic p. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 308-311. doi: 10.4153/CJM-1979-033-x
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