Every matrix over a finite field of odd characteristic and size at least 5 is the sum of a diagonalizable matrix and a square-zero matrix, with partial affirmative results and explicit counterexamples for the field with three elements.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
Every matrix over a finite field of odd characteristic and size at least 5 is the sum of a diagonalizable matrix and a square-zero matrix, with partial affirmative results and explicit counterexamples for the field with three elements.