Waring problem for triangular matrix algebra

DOI10.1016/J.LAA.2024.03.031MaRDI QIDQ6496387

Anupam Singh, Rahul Kaushik

Publication date: 3 May 2024

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

zbMATH Keywords

Waring problemtriangular matricesLang-Weil estimate

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Varieties over finite and local fields (11G25)

Cites Work

• The Waring problem for finite simple groups.
• Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Equations over finite fields. An elementary approach
• Matrix Waring problem
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• Probabilistic Waring problems for finite simple groups
• On triangular similarity of nilpotent triangular matrices
• Belitskiĭ's canonical form for \(5\times 5\) upper triangular matrices under upper triangular similarity
• The Waring problem for matrix algebras
• On the width of verbal subgroups of the groups of triangular matrices over a field of arbitrary characteristic
• On the sum powers of matrices
• The waring problem for matrices
• Conjugacy classes in Sylow p-subgroups of GL(n,q), II
• On Higman`s Conjecture
• Matrices over commutative rings as sums of $k$-th powers
• Matrices over commutative rings as sums of fifth and seventh powers of matrices
• p-power conjugacy classes in U(n,q) and T(n,q)
• Number of Points of Varieties in Finite Fields
• The Waring problem for matrix algebras, II
• The image of polynomials and Waring type problems on upper triangular matrix algebras

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