2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161577Let G be a connected reductive linear algebraic group defined over an algebraically closed field of characteristic p. Assume that p is good for G. In this note we classify all the spherical nilpotent G-orbits in the Lie algebra of G. The classification is the same as in the characteristic zero case obtained by D.I. Panyushev in 1994: for e a nilpotent element in the Lie algebra of G, the G-orbit G.e is spherical if and only if the height of e is at most 3.35 pages to appear in Pacific J. MathGroup TheoryRings and Algebras20G15, 14L30, 17B50text