Invertible preservers and algebraic groups

DOI10.1016/0024-3795(94)90404-9zbMath0814.15002OpenAlexW1981379995WikidataQ127633395 ScholiaQ127633395MaRDI QIDQ1344063

Robert M. Guralnick

Publication date: 8 June 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90404-9

zbMATH Keywords

algebraic groupsmaximal subgroupsinvertible linear transformationsinvertible preservers

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

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Cites Work

• Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I
• Overgroups of some classical linear groups with applications to linear preserver problems
• Invertible preservers and algebraic groups
• The maximal subgroups of the classical groups
• Semisimple subalgebras of semisimple Lie algebras
• The maximal subgroups of classical algebraic groups
• Linear Operators Preserving Similarity Classes and Related Results
• Factorizations of simple algebraic groups
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