Maps Preserving Commutators on the Standard Borel Subgroup of the Unitary Group over a Field

DOI10.1142/S1005386716000493zbMath1387.20037OpenAlexW2466980711MaRDI QIDQ2822088

Xuemei Zhou, Hong You

Publication date: 26 September 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386716000493

zbMATH Keywords

unitary groupmaps preserving commutatorsstandard Borel subgroup

Mathematics Subject Classification ID

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

Cites Work

• Bijective maps preserving commutators on a solvable classical group.
• Linear preserver problems: A brief introduction and some special techniques
• Nonlinear maps preserving solvability
• Automorphisms of the standard Borel subgroup of orthogonal group \(O(2m,R)\) over commutative rings.
• Bijective maps on unit upper triangular matrices preserving commutators
• Automorphisms of the standard Borel subgroup of the symplectic group over a commutative ring

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