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The generalized Mal'cev problem on abelian subalgebras of the Chevalley algebras

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Publication:266226
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DOI10.1134/S1995080215040083zbMath1394.17025OpenAlexW2298032655MaRDI QIDQ266226

Vladimir M. Levchuk, Galina S. Suleimanova

Publication date: 13 April 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080215040083

zbMATH Keywords

abelian subalgebraChevalley algebralarge abelian subgroupLie type group


Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)


Related Items

Обобщение задачи А. И. Мальцева о коммутативных подалгебрах на алгебры Шевалле, Generalized reduced Mal'tsev problem on commutative subalgebras of \(E_6\) type Chevalley algebras over a field, The Highest Dimension of Commutative Subalgebras in Chevalley Algebras



Cites Work

  • Unnamed Item
  • Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type.
  • Some locally nilpotent rings and their adjoined groups
  • Automorphisms of unipotent subgroups of Lie type groups of small ranks
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