\begin{thebibliography}{BDP17}

\bibitem[BDP17]{BDP}
V.~Balaji, P.~Deligne, and A.~J. Parameswaran.
\newblock {On complete reducibility in characteristic $p$}.
\newblock {\em {Épijournal de Géométrie Algébrique}}, {Volume 1}, 2017.

\bibitem[BR85]{BarRic}
P.~Bardsley and R.~W. Richardson.
\newblock \'{E}tale slices for algebraic transformation groups in
  characteristic {$p$}.
\newblock {\em Proc. London Math. Soc. (3)}, 51(2):295--317, 1985.

\bibitem[Her13]{HER}
S.~Herpel.
\newblock On the smoothness of centralizers in reductive groups.
\newblock {\em Trans. Amer. Math. Soc.}, 365(7):3753--3774, 2013.

\bibitem[Jea21]{JEA1}
M.~Jeannin.
\newblock Integration questions in separably good characteristics, 2021.

\bibitem[KZ22]{Kraft}
H.~Kraft and M.~Zaidenberg.
\newblock Algebraically generated groups and their lie algebras, 2022.

\bibitem[McN02]{MAUS}
G.~J. McNinch.
\newblock Abelian unipotent subgroups of reductive groups.
\newblock {\em J. Pure Appl. Algebra}, 167(2-3):269--300, 2002.

\bibitem[McN05]{MCNOPT}
G.~J. McNinch.
\newblock Optimal \textsc{SL}(2)-homomorphisms.
\newblock {\em Comment. Math. Helv.}, 80(2):391--426, 2005.

\bibitem[MT09]{MT2}
G.~J. McNinch and D.~M. Testerman.
\newblock Nilpotent centralizers and {S}pringer isomorphisms.
\newblock {\em J. Pure Appl. Algebra}, 213(7):1346--1363, 2009.

\bibitem[Sei00]{Sei}
G.~M. Seitz.
\newblock Unipotent elements, tilting modules, and saturation.
\newblock {\em Inv. Math.}, 141(3):467--502, Sep 2000.

\bibitem[Ser96]{SER2}
J.-P. Serre.
\newblock Exemples de plongements des groupes {PSL$_2(\mathbb{F}_p)$} dans des
  groupes de {L}ie simples.
\newblock {\em Invent. Math.}, 124(1-3):525--562, 1996.

\bibitem[Sob15]{SOB1}
P.~Sobaje.
\newblock Springer isomorphisms in characteristic {$p$}.
\newblock {\em Transform. Groups}, 20(4):1141--1153, 2015.

\bibitem[Sob18]{SOB2}
P.~Sobaje.
\newblock Unipotent elements and generalized exponential maps.
\newblock {\em Adv. Math.}, 333:463--496, 2018.

\bibitem[Spr69]{SPR}
T.~A. Springer.
\newblock The unipotent variety of a semi-simple group.
\newblock In {\em Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst.
  {F}und. {R}es., {B}ombay, 1968)}, pages 373--391. Oxford Univ. Press, London,
  1969.

\end{thebibliography}
