Geodesic
Automorphisms of Sylow $p$-Subgroups of Chevalley Groups Defined over Residue Rings of Integers
Algebra i logika, Tome 43 (2004) no. 1, pp. 32-59.

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We deal with automorphisms of Sylow $p$-subgroups $S\Phi(Z_{p^m})$ of Chevalley groups of normal types $\Phi$, defined over residue rings $Z_{p^m}$ of integers modulo $p^m$, where $m\geqslant 2$ and $p>3$ is a prime. It is shown that in this case all automorphisms of $S\Phi(Z_{p^m})$ factor into a product of inner, diagonal, graph, central automorphisms and some explicitly specified automorphism of order $p$. The results obtained give the answer (under the condition that $p>3$) to Question 12.42 posed by Levchyuk in [4], which called for furnishing a description of automorphisms of a Sylow $p$-subgroup of a normal type Chevalley group over a residue ring of integers modulo $p^m$, where $m\geqslant 2$ and $p$ is a prime.
Keywords: Chevalley group, Sylow $p$-subgroup
Mots-clés : automorphism. 
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S. G. Kolesnikov. Automorphisms of Sylow $p$-Subgroups of Chevalley Groups Defined over Residue Rings of Integers. Algebra i logika, Tome 43 (2004) no. 1, pp. 32-59. http://geodesic.mathdoc.fr/item/AL_2004_43_1_a1/

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