Bijective maps preserving commutators on a solvable classical group.

DOI10.1007/s11425-010-3133-5zbMath1223.20022OpenAlexW2013494467WikidataQ114222428 ScholiaQ114222428MaRDI QIDQ625774

Dengyin Wang, Wei Zhang, Shikun Ou

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3133-5

zbMATH Keywords

matrix groupslinear preserver mapsmaps preserving commutators

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Commutator calculus (20F12) Other matrix groups over fields (20H20) Linear preserver problems (15A86)

Related Items (5)

Invertible linear maps on Borel subalgebras preserving zero Lie products ⋮ Bijective maps on standard Borel subgroup of symplectic group preserving commutators. ⋮ Maps Preserving Commutators on the Standard Borel Subgroup of the Unitary Group over a Field ⋮ Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group ⋮ Bijective maps of infinite triangular and unitriangular matrices preserving commutators

Cites Work

• Unnamed Item
• Linear preserver problems: A brief introduction and some special techniques
• Willmore tori with umbilic lines and minimal surfaces in hyperbolic space
• Nonlinear maps preserving solvability
• Linear Preserver Problems
• Linear Operations on Matrices
• Non-Linear Spectrum-Preserving Maps

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