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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2006 Volume 12, Issue 8, Pages 121–158 (Mi fpm32)

This article is cited in 2 papers

Automorphisms of Sylow $p$-subgroups of Chevalley groups over $p$-primary residue rings of integers

S. G. Kolesnikov

Krasnoyarsk State University

Abstract: 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.

UDC: 519.54


 English version:
Journal of Mathematical Sciences (New York), 2008, 152:2, 220–246

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