An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field

Details An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field

1995-12-19

arxiv.org/abs/math/9512224v1

Elec. J. Comb. 3(1)(1996), R2

Mathematics

Combinatorics

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Scientific paper

We prove an explicit formula for the number of $n \times n$ upper triangular
matrices, over $GF(q)$, whose square is the zero matrix. This formula was
recently conjectured by Sasha Kirillov and Anna Melnikov[KM].

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