Reduction theorems for groups of matrices

DOI10.1016/j.laa.2003.11.020zbMath1054.15011OpenAlexW2096814408MaRDI QIDQ1826840

Janez Bernik, Mitja Mastnak, Robert M. Guralnick

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.020

zbMATH Keywords

finite subgroupsreduction theoremscompact Lie groupnilpotentlinear algebraic groupsolvableabelian

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) General properties and structure of other Lie groups (22E20)

Related Items

Commutators of small rank and reducibility of operator semigroups ⋮ Complete reducibility and separability ⋮ Isometry groups of non-positively curved spaces: discrete subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Simultaneous triangularization
• Free subgroups in linear groups
• Structure of algebras
• A finiteness lemma, brauer's theorem and other iIrreducibility results