Automorphisms of Sylow \(p\)-subgroups of Chevalley groups over \(p\)-primary residue rings of integers.

DOI10.1007/S10958-008-9061-ZzbMath1150.20034OpenAlexW2042617183MaRDI QIDQ950885

Sergey Gennadievich Kolesnikov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9061-z

zbMATH Keywords

automorphism groupsChevalley groupscongruence subgroupsstandard automorphismsgraph automorphismscentral automorphismsunipotent subgroupsindecomposable root systems

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

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• Note on the Mathieu group \(M_{12}\)
• Commutator structure of some subgroups of Chevalley groups
• Automorphisms of certain unipotent groups
• Central series and series of commutants of certain matrix groups
• Automorphisms of unipotent subgroups of Chevalley groups
• Automorphisms of Sylow p-Subgroups of Chevalley Groups Defined over Residue Rings of Integers

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