Geodesic
Automorphisms of Sylow $p$-subgroups of Chevalley groups over $p$-primary residue rings of integers
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 121-158
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In this paper, we prove that any automorphism of a Sylow $p$-subgroup of the Chevalley group over the ring $\mathbb Z_{p^m}$ (where $p$ is prime and $m\geq 1$) is a product of graph, inner, diagonal, and hypercentral automorphisms. 
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S. G. Kolesnikov. Automorphisms of Sylow $p$-subgroups of Chevalley groups over $p$-primary residue rings of integers. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 121-158. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a5/

[1] Burbaki N., Gruppy i algebry Li, Glavy IV–VI, Mir, M., 1972

[2] Vapne Yu. E., “Tsentralnye ryady i ryady kommutantov nekotorykh matrichnykh grupp”, Sib. mat. zhurn., 12:3 (1971), 497–504 | MR | Zbl

[3] Kolesnikov S. G., Kommutatornoe stroenie i avtomorfizmy obobschennykh kongruents-podgrupp, Dis. ... kand. fiz.-mat. nauk, Krasnoyarsk, 1997

[4] Kolesnikov S. G., “Nizhnie tsentralnye ryady silovskikh 2-podgrupp simplekticheskoi i ortogonalnoi grupp nad koltsom $\mathbb Z_{2^m}$”, Algebra i logika, 37:4 (1998), 413–431 | MR | Zbl

[5] Kolesnikov S. G., “Avtomorfizmy silovskikh $p$-podgrupp grupp Shevalle, opredelennykh nad koltsami vychetov tselykh chisel”, Algebra i logika, 43:1 (2004), 32–59 | MR | Zbl

[6] Kolesnikov S. G., “Avtomorfizmy silovskikh $p$-podgrupp grupp Shevalle malykh rangov nad koltsom $\mathbb Z_{p^m}$”, Izv. Gomelskogo un-ta, 36:3 (2006), 137–146

[7] Kourovskaya tetrad, 15-e izd., Novosibirsk, 2002

[8] Levchuk V. M., “Avtomorfizmy unipotentnykh podgrupp grupp lieva tipa malykh rangov”, Algebra i logika, 29:2 (1990), 141–161 | MR | Zbl

[9] Levchuk V. M., “Avtomorfizmy unipotentnykh podgrupp grupp Shevalle”, Algebra i logika, 29:3 (1990), 315–338 | MR | Zbl

[10] Levchuk V. M., “Kommutatornoe stroenie nekotorykh podgrupp grupp Shevalle”, Ukr. mat. zhurn., 44:6 (1992), 786–795 | MR | Zbl

[11] Kholl M., Teoriya grupp, IL, M., 1962

[12] Carter R., Simple groups of Lie type, Wiley, New York, 1972 | MR | Zbl

[13] Gibbs J. A., “Automorphisms of certain unipotent groups”, J. Algebra, 14:2 (1970), 203–228 | DOI | MR | Zbl