-MINIMUM SPANNING LENGTHS AND AN EXTENSION TO BURNSIDE’S THEOREM ON IRREDUCIBILITY

DOI10.1017/S0004972720001227zbMath1468.15014OpenAlexW3107317567MaRDI QIDQ4999617

William Ellison Longstaff

Publication date: 7 July 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001227

zbMATH Keywords

irreduciblelinear spanspanning length

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30)

Cites Work

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• The effect of assuming the identity as a generator on the length of the matrix algebra
• A resolution of Paz's conjecture in the presence of a nonderogatory matrix
• Burnside's theorem: Irreducible pairs of transformations
• The simplest proof of Burnside's theorem on matrix algebras
• An improved bound for the lengths of matrix algebras
• On the lengths of irreducible pairs of complex matrices
• ON THE LENGTHS OF PAIRS OF COMPLEX MATRICES OF SIZE SIX
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
• IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX
• On the lengths of pairs of complex matrices of size at most five
• THE SLOT LENGTH OF A FAMILY OF MATRICES

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